The sum of two numbers is 62, and their difference is 8. What are the numbers?

I need a little help on this one problem.

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2 Answers

1).  x + y = 62

2).  x - y = 8

solve for x in equation 1).

x = 62 - y

substitute into 2).

(62 - y) - y = 8

62 - 2y = 8

-2y = -54

y = 27

substitute into 1).

x + 27 = 62

x = 35

CHECK:
x = 35, y = 27

1. 35 + 27 = 62

62 = 62 Check works...

2. 35 - 27 = 8

8 = 8 Check works...

 

by Level 10 User (55.7k points)
35 and 27 is answer
by Level 4 User (6.4k points)

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