Question

The sum of two numbers is 12 and their difference is 1. Then the two numbers

• A. lie between 3 and 5.
• B. lie between 4 and 6.
• C. lie between 5 and 7.
• D. lie between 6 and 8.

Answer 1

The correct option is C

lie between 5 and 7.

Let the two numbers be $x$ and $y$.

Let us assume that $x$ is greater than $y$.

Given, the sum of these two numbers is 12. i.e. $x+y=12$

Also, given that, the difference of these two numbers is 1. i.e. $x-y=1$

We know that $(x+y)+(x-y)=2x$

Then, $12+1=2x$

$⟹2x=13$

$⟹x=6.5$

Then $x+y=12$ implies that $y=5.5$ [$x-y=1$ may be considered too]

Hence the two required numbers are 6.5 and 5.5.

Therefore option (c) is the correct one.