Scroll:Ratio >> Fixed Difference >> ps (3074)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

Murugan is 13 as old as his cousin now.
In 24 years' time, the ratio of his age to his cousin's age will be 2:3.
How old is Murugan now

years old


Answer:_______________




2)  

Sriram is 35 as old as his teacher now.
In 10 years' time, the ratio of his age to his teacher's age will be 2:3.
How old is Sriram now

years old


Answer:_______________




3)  

Aravindh is 35 as old as his neighbour now.
In 21 years' time, the ratio of his age to his neighbour's age will be 3:4.
How old is Aravindh now

years old


Answer:_______________




4)  

Moorthi is 13 as old as his elder sister now.
In 21 years' time, the ratio of his age to his elder sister's age will be 4:5.
How old is Moorthi now

years old


Answer:_______________




5)  

Karna is 13 as old as his elder brother now.
In 30 years' time, the ratio of his age to his elder brother's age will be 3:4.
How old is Karna now

years old


Answer:_______________




6)  

Murugan is 13 as old as his cousin now.
In 27 years' time, the ratio of his age to his cousin's age will be 2:3.
How old is Murugan now

years old


Answer:_______________




7)  

Kumar is 35 as old as his teacher now.
In 14 years' time, the ratio of his age to his teacher's age will be 2:3.
How old is Kumar now

years old


Answer:_______________




8)  

Chidambaram is 35 as old as his neighbour now.
In 18 years' time, the ratio of his age to his neighbour's age will be 3:4.
How old is Chidambaram now

years old


Answer:_______________




9)  

Kumar is 13 as old as his elder sister now.
In 21 years' time, the ratio of his age to his elder sister's age will be 4:5.
How old is Kumar now

years old


Answer:_______________




10)  

Selvan is 13 as old as his elder brother now.
In 25 years' time, the ratio of his age to his elder brother's age will be 3:4.
How old is Selvan now

years old


Answer:_______________




 

1)  

Murugan is 13 as old as his cousin now.
In 24 years' time, the ratio of his age to his cousin's age will be 2:3.
How old is Murugan now

Answer: 8 years old


SOLUTION 1 :
Present
Murugan : Cousin : Difference
1 : 3 : 2
     
 
24 years' time
Murugan : Cousin : Difference
2x2 : 3x2 : 1x2
4 : 6 : 2

 

Step 1:
  4 units - 1 unit 
= 3 units
Step 2:
3 units 
= 24
 
1 unit 
= 24 ÷ 3
    = 8 years' old
     
     
     
     
     


2)  

Sriram is 35 as old as his teacher now.
In 10 years' time, the ratio of his age to his teacher's age will be 2:3.
How old is Sriram now

Answer: 30 years old


SOLUTION 1 :
Present
Sriram : Teacher : Difference
3 : 5 : 2
     
 
10 years' time
Sriram : Teacher : Difference
2x2 : 3x2 : 1x2
4 : 6 : 2

 

Step 1:  
4 units - 3 units 
= 1 unit
Step 2:
1 unit 
= 10
 
3 units 
= 3 x 10
    = 30 years' old
     
     
     
     
     


3)  

Aravindh is 35 as old as his neighbour now.
In 21 years' time, the ratio of his age to his neighbour's age will be 3:4.
How old is Aravindh now

Answer: 21 years old


SOLUTION 1 :
Present
Aravindh : Neighbour : Difference
3 : 5 : 2
     
 
21 years' time
Aravindh : Neighbour : Difference
3x2 : 4x2 : 1x2
6 : 8 : 2

 

Step 1:
6 units - 3 units 
= 3 units
 
3 units 
= 21 years' old
 
 
 
     
     
     
     
     
     


4)  

Moorthi is 13 as old as his elder sister now.
In 21 years' time, the ratio of his age to his elder sister's age will be 4:5.
How old is Moorthi now

Answer: 3 years old


SOLUTION 1 :
Present
Moorthi : Elder sis : Difference
1 : 3 : 2
     
 
21 years' time
Moorthi : Elder sis : Difference
4x2 : 5x2 : 1x2
8 : 10 : 2

 

Step 1:  
8 units - 1 unit 
= 7 units
Step 2:
7 units 
= 21
 
1 unit 
= 21 ÷ 7
    = 3 years' old
     
     
     
     
     


5)  

Karna is 13 as old as his elder brother now.
In 30 years' time, the ratio of his age to his elder brother's age will be 3:4.
How old is Karna now

Answer: 6 years old


SOLUTION 1 :
Present
Karna : Elder brother : Difference
1 : 3 : 2
     
 
30 years' times
Karna : Elder brother : Difference
3x2 : 4x2 : 1x2
6 : 8 : 2

 

Step 1:
 6 units - 1 unit 
= 5 units
Step 2:
5 units 
= 30
 
1 unit 
= 30 ÷ 5
    = 6 years' old
     
     
     
     
     


6)  

Murugan is 13 as old as his cousin now.
In 27 years' time, the ratio of his age to his cousin's age will be 2:3.
How old is Murugan now

Answer: 9 years old


SOLUTION 1 :
Present
Murugan : Cousin : Difference
1 : 3 : 2
     
 
27 years' time
Murugan : Cousin : Difference
2x2 : 3x2 : 1x2
4 : 6 : 2

 

Step 1:
  4 units - 1 unit 
= 3 units
Step 2:
3 units 
= 27
 
1 unit 
= 27 ÷ 3
    = 9 years' old
     
     
     
     
     


7)  

Kumar is 35 as old as his teacher now.
In 14 years' time, the ratio of his age to his teacher's age will be 2:3.
How old is Kumar now

Answer: 42 years old


SOLUTION 1 :
Present
Kumar : Teacher : Difference
3 : 5 : 2
     
 
14 years' time
Kumar : Teacher : Difference
2x2 : 3x2 : 1x2
4 : 6 : 2

 

Step 1:  
4 units - 3 units 
= 1 unit
Step 2:
1 unit 
= 14
 
3 units 
= 3 x 14
    = 42 years' old
     
     
     
     
     


8)  

Chidambaram is 35 as old as his neighbour now.
In 18 years' time, the ratio of his age to his neighbour's age will be 3:4.
How old is Chidambaram now

Answer: 18 years old


SOLUTION 1 :
Present
Chidambaram : Neighbour : Difference
3 : 5 : 2
     
 
18 years' time
Chidambaram : Neighbour : Difference
3x2 : 4x2 : 1x2
6 : 8 : 2

 

Step 1:
6 units - 3 units 
= 3 units
 
3 units 
= 18 years' old
 
 
 
     
     
     
     
     
     


9)  

Kumar is 13 as old as his elder sister now.
In 21 years' time, the ratio of his age to his elder sister's age will be 4:5.
How old is Kumar now

Answer: 3 years old


SOLUTION 1 :
Present
Kumar : Elder sis : Difference
1 : 3 : 2
     
 
21 years' time
Kumar : Elder sis : Difference
4x2 : 5x2 : 1x2
8 : 10 : 2

 

Step 1:  
8 units - 1 unit 
= 7 units
Step 2:
7 units 
= 21
 
1 unit 
= 21 ÷ 7
    = 3 years' old
     
     
     
     
     


10)  

Selvan is 13 as old as his elder brother now.
In 25 years' time, the ratio of his age to his elder brother's age will be 3:4.
How old is Selvan now

Answer: 5 years old


SOLUTION 1 :
Present
Selvan : Elder brother : Difference
1 : 3 : 2
     
 
25 years' times
Selvan : Elder brother : Difference
3x2 : 4x2 : 1x2
6 : 8 : 2

 

Step 1:
 6 units - 1 unit 
= 5 units
Step 2:
5 units 
= 25
 
1 unit 
= 25 ÷ 5
    = 5 years' old