Question

Answer of question the difference of two numbers is 8 and the difference of the square are 208.find the numbers?

Answer 1

Answer:

17, 9

Step-by-step explanation:

Let the numbers be a and b.

Difference of two numbers, a-b = 8 ->(1)

Difference of squares, a^2 - b^2 = 208

we know that,

(a+b)(a-b) = (a^2-b^2)

(a+b)(8) = 208

a+b = 208/8

a+b = 26 ->(2)

Solve (1) and (2),

2a = 34

a = 17

sub. a value in (1)

17- b = 8

17-8 = b

b = 9