Scroll:Algebra >> Term III Ex 1.2 >> ps (4447)


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)  

If 31 is subtracted from a number, the result is 59. Find the number.


Answer:_______________




2)  

If 25 is subtracted from a number, the result is 50. Find the number.


Answer:_______________




3)  

If 25 is subtracted from a number, the result is 77. Find the number.


Answer:_______________




4)  

If 27 is subtracted from a number, the result is 68. Find the number.


Answer:_______________




5)  

If 37 is subtracted from a number, the result is 56. Find the number.


Answer:_______________




6)  

If 28 is subtracted from a number, the result is 80. Find the number.


Answer:_______________




7)  

If 30 is subtracted from a number, the result is 68. Find the number.


Answer:_______________




8)  

If 27 is subtracted from a number, the result is 72. Find the number.


Answer:_______________




9)  

If 39 is subtracted from a number, the result is 61. Find the number.


Answer:_______________




10)  

If 24 is subtracted from a number, the result is 53. Find the number.


Answer:_______________




 

1)  

If 31 is subtracted from a number, the result is 59. Find the number.

Answer: 90


SOLUTION 1 :

Let the required number be x.

Given:

    x - 31 = 59 

⇒ x = 59 + 31          ( on transposing - 31, becomes + 31 ).

⇒  x = 90.

Hence, the required number is 90.



2)  

If 25 is subtracted from a number, the result is 50. Find the number.

Answer: 75


SOLUTION 1 :

Let the required number be y.

Given:

    y - 25 = 50 

⇒ y = 50 + 25          ( on transposing - 25, becomes + 25 ).

⇒  y = 75.

Hence, the required number is 75.



3)  

If 25 is subtracted from a number, the result is 77. Find the number.

Answer: 102


SOLUTION 1 :

Let the required number be x.

Given:

    x - 25 = 77 

⇒ x = 77 + 25          ( on transposing - 25, becomes + 25 ).

⇒  x = 102.

Hence, the required number is 102.



4)  

If 27 is subtracted from a number, the result is 68. Find the number.

Answer: 95


SOLUTION 1 :

Let the required number be y.

Given:

    y - 27 = 68 

⇒ y = 68 + 27          ( on transposing - 27, becomes + 27 ).

⇒  y = 95.

Hence, the required number is 95.



5)  

If 37 is subtracted from a number, the result is 56. Find the number.

Answer: 93


SOLUTION 1 :

Let the required number be x.

Given:

    x - 37 = 56 

⇒ x = 56 + 37          ( on transposing - 37, becomes + 37 ).

⇒  x = 93.

Hence, the required number is 93.



6)  

If 28 is subtracted from a number, the result is 80. Find the number.

Answer: 108


SOLUTION 1 :

Let the required number be y.

Given:

    y - 28 = 80 

⇒ y = 80 + 28          ( on transposing - 28, becomes + 28 ).

⇒  y = 108.

Hence, the required number is 108.



7)  

If 30 is subtracted from a number, the result is 68. Find the number.

Answer: 98


SOLUTION 1 :

Let the required number be x.

Given:

    x - 30 = 68 

⇒ x = 68 + 30          ( on transposing - 30, becomes + 30 ).

⇒  x = 98.

Hence, the required number is 98.



8)  

If 27 is subtracted from a number, the result is 72. Find the number.

Answer: 99


SOLUTION 1 :

Let the required number be y.

Given:

    y - 27 = 72 

⇒ y = 72 + 27          ( on transposing - 27, becomes + 27 ).

⇒  y = 99.

Hence, the required number is 99.



9)  

If 39 is subtracted from a number, the result is 61. Find the number.

Answer: 100


SOLUTION 1 :

Let the required number be x.

Given:

    x - 39 = 61 

⇒ x = 61 + 39          ( on transposing - 39, becomes + 39 ).

⇒  x = 100.

Hence, the required number is 100.



10)  

If 24 is subtracted from a number, the result is 53. Find the number.

Answer: 77


SOLUTION 1 :

Let the required number be y.

Given:

    y - 24 = 53 

⇒ y = 53 + 24          ( on transposing - 24, becomes + 24 ).

⇒  y = 77.

Hence, the required number is 77.