Question

From.a certain number 3 is taken and the remainder is divided by 4 , the quotient is then increased by 4 and divided by 5 and the result is 2 . find the number

Answer 1

let the number =x
according to the problem
[(x-3)/4 +4]/5=2
(x-3+16)/4=10
x+13=40
x=40-13
x=27
required number =x=27

Answer 2

let, the number be x
according to the question,
{[(x-3)/4]+4}/5=2
⇒[(x-3)/4]+4=10
⇒(x-3)/4 = 10-4
⇒(x-3) = 6×4
⇒x-3 = 24
⇒ x = 24+3
⇒ x =27

∴ The number is 27.