Question

there are two numbers whose sum is 36 and difference is8
write equations using the above condition and find the numbers​

Answer 1

Solution:

Let the first number be x and the other number be (36 - x).

Then, we can verify that, (36 - x) + x = 36 - x + x = 36.

And, x - (36 - x) = 8

⇒ x - 36 + x = 8

⇒ 2x - 36 = 8

⇒ 2x = 8 + 36

⇒ x = 44/2 = 22

∴ the greater number = x = 22

the smaller number = 36 - x = 36 - 22 = 14

Answer: The numbers are 22 and 14.