Question

The sum of two numbers is $54$ and thier difference is $14$ find the numbers.

• A. $20,34$
• B. $17,37$
• C. $14,28$
• D. $30,24$

Answer 1

Answer: (A)

$20,34$

Let the two numbers bw $a,b$

Their sum is $54$

$a+b=54\cdots \left(1\right)$

Their difference is $14$

$a-b=14\cdots \left(2\right)\left(1\right)+\left(2\right)2a=68a=34⟹34+b=54b=54-34=20$