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 27 is subtracted from a number, the result is 58. Find the number.


Answer:_______________




2)  

If 26 is subtracted from a number, the result is 74. Find the number.


Answer:_______________




3)  

If 36 is subtracted from a number, the result is 59. Find the number.


Answer:_______________




4)  

If 23 is subtracted from a number, the result is 77. Find the number.


Answer:_______________




5)  

If 32 is subtracted from a number, the result is 78. Find the number.


Answer:_______________




6)  

If 27 is subtracted from a number, the result is 57. Find the number.


Answer:_______________




7)  

If 23 is subtracted from a number, the result is 52. Find the number.


Answer:_______________




8)  

If 34 is subtracted from a number, the result is 70. Find the number.


Answer:_______________




9)  

If 39 is subtracted from a number, the result is 55. Find the number.


Answer:_______________




10)  

If 26 is subtracted from a number, the result is 65. Find the number.


Answer:_______________




 

1)  

If 27 is subtracted from a number, the result is 58. Find the number.

Answer: 85


SOLUTION 1 :

Let the required number be x.

Given:

    x - 27 = 58 

⇒ x = 58 + 27          ( on transposing - 27, becomes + 27 ).

⇒  x = 85.

Hence, the required number is 85.



2)  

If 26 is subtracted from a number, the result is 74. Find the number.

Answer: 100


SOLUTION 1 :

Let the required number be y.

Given:

    y - 26 = 74 

⇒ y = 74 + 26          ( on transposing - 26, becomes + 26 ).

⇒  y = 100.

Hence, the required number is 100.



3)  

If 36 is subtracted from a number, the result is 59. Find the number.

Answer: 95


SOLUTION 1 :

Let the required number be y.

Given:

    y - 36 = 59 

⇒ y = 59 + 36          ( on transposing - 36, becomes + 36 ).

⇒  y = 95.

Hence, the required number is 95.



4)  

If 23 is subtracted from a number, the result is 77. Find the number.

Answer: 100


SOLUTION 1 :

Let the required number be x.

Given:

    x - 23 = 77 

⇒ x = 77 + 23          ( on transposing - 23, becomes + 23 ).

⇒  x = 100.

Hence, the required number is 100.



5)  

If 32 is subtracted from a number, the result is 78. Find the number.

Answer: 110


SOLUTION 1 :

Let the required number be x.

Given:

    x - 32 = 78 

⇒ x = 78 + 32          ( on transposing - 32, becomes + 32 ).

⇒  x = 110.

Hence, the required number is 110.



6)  

If 27 is subtracted from a number, the result is 57. Find the number.

Answer: 84


SOLUTION 1 :

Let the required number be y.

Given:

    y - 27 = 57 

⇒ y = 57 + 27          ( on transposing - 27, becomes + 27 ).

⇒  y = 84.

Hence, the required number is 84.



7)  

If 23 is subtracted from a number, the result is 52. Find the number.

Answer: 75


SOLUTION 1 :

Let the required number be x.

Given:

    x - 23 = 52 

⇒ x = 52 + 23          ( on transposing - 23, becomes + 23 ).

⇒  x = 75.

Hence, the required number is 75.



8)  

If 34 is subtracted from a number, the result is 70. Find the number.

Answer: 104


SOLUTION 1 :

Let the required number be y.

Given:

    y - 34 = 70 

⇒ y = 70 + 34          ( on transposing - 34, becomes + 34 ).

⇒  y = 104.

Hence, the required number is 104.



9)  

If 39 is subtracted from a number, the result is 55. Find the number.

Answer: 94


SOLUTION 1 :

Let the required number be y.

Given:

    y - 39 = 55 

⇒ y = 55 + 39          ( on transposing - 39, becomes + 39 ).

⇒  y = 94.

Hence, the required number is 94.



10)  

If 26 is subtracted from a number, the result is 65. Find the number.

Answer: 91


SOLUTION 1 :

Let the required number be x.

Given:

    x - 26 = 65 

⇒ x = 65 + 26          ( on transposing - 26, becomes + 26 ).

⇒  x = 91.

Hence, the required number is 91.