Anonymous
Anonymous asked in Science & MathematicsMathematics · 9 months ago

# The sum of two numbers is 22 and their difference is 16. What are the numbers?

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• a+b = 22

a-b = 16

2a = 38

a = 19 ; b = 22-19 = 3

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• The numbers are 3 and 19.

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• x + y = 22

x - y = 16

Add the equations together (note the "-y")

2x = 38

x = 19

Substitute into x + y = 22

19 + y = 22

y = 3

ANS 19 and 3

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• 19 and 3 are the two numbers.

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• x + y = 22

x - y = 16

2x = 38

x = 19

so y = 22 - 19

y = 3

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• -

x + y = 22

2x = 38

x = 19

19 + y = 22

y = 3

Numbers are 3 and 19

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• The sum of two numbers is 22 and their difference is 16.

x + y = 22, x - y = 16

The two numbers are 19 and 3.

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• (22+16)/2 = 19 and (22-16)/2 = 3

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• Let a be the bigger number.

Let b be the smaller number.

Write two equations:

a + b = 22

a - b = 16

2a = 38

a = 38/2

a = 19

Then solve for b:

19 + b = 22

b = 3

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