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The sum of two numbers is 35 and their difference is 13. Find the numbers?

The sum  of two numbers is 35 and their difference is 13. Find the numbers?

Solutions

Expert Solution

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

Shams answered 1 year ago
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