Question

After adding 77 to a number the sum is multiplied by 5 and the product so obtained is divided by 9. From the quotient so obtained 33 is subtracted to get 12. The number is

Answer 1

Answer:

The number is 4.

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Step-by-step explanation:

Let n be the number.

"After adding 77 to a number ..."  :   Now we have n + 77

"... the sum is multiplied by 5 ..."  :   Now we have 5 ( n + 77 )

"... and the product so obtained is divided by 9.... " :   Now we have 5 ( n + 77 )  / 9

"... From the quotient so obtained 33 is subtracted ..." :  Now we have 5 ( n + 77 ) / 9  - 33

"...  to get 12." :  So we have an equation and we reverse the steps to find the number n.

5 ( n + 77 ) / 9  - 33 = 12

=> 5 ( n + 77 ) / 9 = 12 + 33 = 45

=> 5 ( n + 77 ) = 9 × 45 = 405

=> n + 77 = 405 / 5 = 81

=> n = 81 - 77 = 4