Question

In the division method, the divisor is $5$ times the quotient and twice the remainder. If the remainder is $15$, then find the dividend.

Answer 1

Solve for the value of dividend

Let $D,Q,R$ be the divisor , quotient and remainder respectively.

It is given that divisor is $5$ times the quotient and twice the remainder and the remainder is $15$

$\Rightarrow D=5Q,D=2R$

Substitute the value of $R$ in the given condition.

$\Rightarrow D=2\times 15=30$

$\Rightarrow Q=\frac{D}{5}=\frac{30}{5}=6$

We know that, Dividend $=$Divisor $\times$ Quotient $+$ Remainder

$\therefore$Dividend $=$ $30\times 6+15=195$

Hence the value of dividend is $195$