Question

The sum of two numbers is $25$ and their difference is $7$, then the numbers are.

• A. $20$ and $5$
• B. $18$ and $7$
• C. $15$ and $10$
• D. $9$ and $16$

Answer 1

The correct option is D $9$ and $16$

let the two numbers be$A$ and $B$

so it is given that

$A+B=25$...(1)

$A-B=7$ ...(2)

Adding the equations we get

$A+B+A-B=25+7$

$2A=32$

$A=16$

Using the above value of A in (1)

So $16+B=25$

$=>B=9$

Thus $A=16$ and $B=9$