# Math

The sum of two numbers is 53 . The larger number is 13 more than the smaller number. What are the numbers?

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2. 👎 0
3. 👁 98
1. x + x + 13 = 53

2x = 40

x = 20

The other is 33

1. 👍 0
2. 👎 0
2. x = larger number
y = smaller number

Write two equations, then do the substitution method.

x + y = 53
x = y + 13

y + y + 13 = 53
2y + 13 = 53
2y + 13 - 13 = 53 - 13
2y = 40
2y/2 = 40/2
y = 20

Now solve for x. You can use either equation.

x = 20 + 13
x = 33

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2. 👎 0
posted by Chelle

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