In: Math
The sum of two numbers is 35 and their difference is 13. Find the numbers?
Suppose x and y be the two numbers, with x being greater of the two.
From question:
x + y = 35 Eq. I
and x - y = 13 Eq. II
Adding Eq. I and Eq. II:
2x = 48
⇒ x = 48/2 = 24
Substitute x = 24 in Eq. I:
24 + y = 35
⇒ y = 35 - 24 = 11
Thus, the two numbers are: 24 and 11
The two numbers are: 24 and 11