Question

In the Euclid's Division Lemma, if divident is 42, divisor is 5 and remainder is 2 times of its quotient then, find the quotient.

Answer 1

According to the Euclid's Division Lemma,
Given: Dividend = 13, Divisor = 5
Let quotient = x.
so, remainder = 3x
Dividend = Divisor × Quotient + Remainder
⇒ 42 = 5 × x + 2x
⇒ 42 = 5 x+ 2x
⇒ 42 = 7 x
⇒ x =$\frac{42}{7}$ = 6
So quotient is 6 .