1 Prom a certain number 3 is taken, and the remainder is dividedby 4;

1.	1 Prom a certain number 3 is taken, and the remainder is dividedby 4; the quotient is then increased. by 4 and divided by 5 and theresult is 2: find the number.
Answer» Let, the number be xaccording 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.

1 Prom a certain number 3 is taken, and the remainder is dividedby 4; the quotient is then increased. by 4 and divided by 5 and theresult is 2: find the number.

Answer»

Let, the number be xaccording 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.