Question

The sum of two numbers is $45$ and their difference is $11$. What are the two numbers?

• A. $28$ and $17$
• B. $27$ and $18$
• C. $25$ and $20$
• D. $22$ and $23$

Answer 1

The correct option is A $28$ and $17$

Let the numbers be $a$ and $b$
Given that

$a+b=45$ ....(1)

$a-b=11$ ....(2)

Adding these two equations, we get

$2a=56$

$\Rightarrow a=28$

Substituting value of $a$ in equation (1), we get

$28+b=45$

$\Rightarrow b=45-28$

$\Rightarrow b=17$
We get $a=28$ and $b=17$