Question

A certain number is divided by 5,the quotient is then multiplied by 2,from the product 12 is subtracted to the remainder 3 is added and the sum is 11.wt is the number?

Answer 1

let THE NUMBER BE = X 
SO FIRST 7 IS ADDED TO THE NUMBER ->> X + 7 
THE RESULT OF THE SUM IS MULTIPLIED BY 5 ->> ( X + 7 ) 5 
WHICH IS DIVIDED BY 9 ->> ( X + 7 ) 5 / 9 
THIS CAN BE simplified AS , 5X + 35 / 9 
THEN 3 IS SUBTRACTED BY IT 
3 - (5X + 35) / 9 = 12 ( given )

by taking lcm , 
27 - 5X - 35 / 9 = 12

-8 - 5X = 108

-5X = 100

X = 100/-5 ->> - 25

SO THE GIVEN NUMBER IS -25 .