Question

The sum of two numbers is 38. The larger number is 22 more than the smaller number. What are the numbers?

Answer 1

Answer:

Larger number = 30
Smaller number = 8

Step-by-step explanation:

Let x = larger number

Let y = smaller number

x + y = 38 ————> (1)

x = y + 22 ————> (2)

Substitute for x using first equation

(y + 22) + y = 38

2y + 22 = 38

2y = 16

y = 8

Substitute for y using second equation

x = 8 + 22

x = 30

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