A number when divided by 61 gives 27 as quotient and 32 as remainder. Find the number.

Question

Philoid · Accepted Answer

Let the number be x.

By Euclid’s division lemma -

x = bq + r ….(1)

where q is the quotient,

r is the remainder

and b is the divisor.

According to the question, b = 61, r = 32, q = 27.

Putting the values in equation (1) -

∴ x = 61(27) + 32

⇒ x = 1679.

Hence, the given number is 1679.