Question

Sum of two numbers is 97. If the larger number is divided by the smaller, the quotient is 7 and the remainder is 1. Find the numbers.

• A. $75,14$
• B. $90,14$
• C. $75,18$
• D. $85,12$

Answer 1

The correct option is D $85,12$

Let the two numbers be $x$ and $y$, where $x$ is the larger no.

$x+y=97$ ...(1)

As per the given condition,

$x=7y+1$ ...(2)

Substitute eq(2) in eq(1) we get

$7y+1+y=978y=96y=12\therefore x=7\left(12\right)+1=85$