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 51. Find the number.


Answer:_______________




2)  

If 38 is subtracted from a number, the result is 58. Find the number.


Answer:_______________




3)  

If 22 is subtracted from a number, the result is 66. Find the number.


Answer:_______________




4)  

If 27 is subtracted from a number, the result is 73. Find the number.


Answer:_______________




5)  

If 29 is subtracted from a number, the result is 75. Find the number.


Answer:_______________




6)  

If 32 is subtracted from a number, the result is 58. Find the number.


Answer:_______________




7)  

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


Answer:_______________




8)  

If 26 is subtracted from a number, the result is 75. Find the number.


Answer:_______________




9)  

If 40 is subtracted from a number, the result is 60. Find the number.


Answer:_______________




10)  

If 22 is subtracted from a number, the result is 55. Find the number.


Answer:_______________




 

1)  

If 27 is subtracted from a number, the result is 51. Find the number.

Answer: 78


SOLUTION 1 :

Let the required number be y.

Given:

    y - 27 = 51 

⇒ y = 51 + 27          ( on transposing - 27, becomes + 27 ).

⇒  y = 78.

Hence, the required number is 78.



2)  

If 38 is subtracted from a number, the result is 58. Find the number.

Answer: 96


SOLUTION 1 :

Let the required number be x.

Given:

    x - 38 = 58 

⇒ x = 58 + 38          ( on transposing - 38, becomes + 38 ).

⇒  x = 96.

Hence, the required number is 96.



3)  

If 22 is subtracted from a number, the result is 66. Find the number.

Answer: 88


SOLUTION 1 :

Let the required number be y.

Given:

    y - 22 = 66 

⇒ y = 66 + 22          ( on transposing - 22, becomes + 22 ).

⇒  y = 88.

Hence, the required number is 88.



4)  

If 27 is subtracted from a number, the result is 73. Find the number.

Answer: 100


SOLUTION 1 :

Let the required number be x.

Given:

    x - 27 = 73 

⇒ x = 73 + 27          ( on transposing - 27, becomes + 27 ).

⇒  x = 100.

Hence, the required number is 100.



5)  

If 29 is subtracted from a number, the result is 75. Find the number.

Answer: 104


SOLUTION 1 :

Let the required number be y.

Given:

    y - 29 = 75 

⇒ y = 75 + 29          ( on transposing - 29, becomes + 29 ).

⇒  y = 104.

Hence, the required number is 104.



6)  

If 32 is subtracted from a number, the result is 58. Find the number.

Answer: 90


SOLUTION 1 :

Let the required number be x.

Given:

    x - 32 = 58 

⇒ x = 58 + 32          ( on transposing - 32, becomes + 32 ).

⇒  x = 90.

Hence, the required number is 90.



7)  

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.



8)  

If 26 is subtracted from a number, the result is 75. Find the number.

Answer: 101


SOLUTION 1 :

Let the required number be x.

Given:

    x - 26 = 75 

⇒ x = 75 + 26          ( on transposing - 26, becomes + 26 ).

⇒  x = 101.

Hence, the required number is 101.



9)  

If 40 is subtracted from a number, the result is 60. Find the number.

Answer: 100


SOLUTION 1 :

Let the required number be x.

Given:

    x - 40 = 60 

⇒ x = 60 + 40          ( on transposing - 40, becomes + 40 ).

⇒  x = 100.

Hence, the required number is 100.



10)  

If 22 is subtracted from a number, the result is 55. Find the number.

Answer: 77


SOLUTION 1 :

Let the required number be y.

Given:

    y - 22 = 55 

⇒ y = 55 + 22          ( on transposing - 22, becomes + 22 ).

⇒  y = 77.

Hence, the required number is 77.