Question 10

# In a division sum, the divisor 'd' is 10 times the quotient 'q' and 5 times the remainder'r'. If r = 46, the dividend will be

Solution

We know that

Dividend = $$(Divisor \times Quotient) +Remainder$$ ---- (1)

Given that Divisor = 10 times the Quotient

=> Divisor= 10Q ---- (2)

and Divisor = 5 times the remainder

=> Divisor = 5R = 5(46) = 230

Substituting divisor value in (2), we get, Q= 23

Substituting all values in equation (1), we get

Dividend = $$(230 \times 23) + 46$$ = 5336