Question

12. Two positive numbers differ by 5 and the
square of their sum is 169. Find the
numbers.​

Answer 1

Answer:

Step-by-step explanation:

let one number be x.

Hence the difference of two numbers is 5,

x - y= 5 ⇒ y= x-5

Therefore, the numbers are x and x-5

According to the question,

(x+x-5)²= 169

(2x-5)²= 169

2x-5= 13

2x= 18⇒ x=9

y= x-5= 9-5= 4

Therefore the two numbers are 9 and 4