Question

the difference of two numbers is 3 and their difference of their squares is 69 find the numbers

Answer 1

13-10=3 and square of 13 and 10 = 169-100=69 no is 13 and 10

Answer 2

Step-by-step explanation:

Let the Two Numbers be A and B

Given : The Difference of Two Numbers is 3

⇒ A - B = 3

⇒ A = B + 3

Given : The Difference of their Squares is 69

⇒ A² - B² = 69

Substituting A = (B + 3) in the Above Equation, We get :

⇒ (B + 3)² - B² = 69

⇒ B² + 9 + 6B - B² = 69

⇒ 6B = 69 - 9

⇒ 6B = 60

⇒ B = 10

Substituting B = 10 in A = (B + 3), We get :

⇒ A = (10 + 3) = 13

So, The Two Numbers are 10 and 13