The sum of two numbers is 64. One number is 8 more than the other. What are the two numbers?

2 answers:

7 0

Write an equation system related to the problem
eg. a and b are the numbers
An equation for "The sum of two numbers is 64" is
⇒ a + b = 64
An equation for "One number is 8 more than the other" is
⇒ a = b + 8

Solve the equation system by subtitution method
Subtitute a with b + 8 in the first equation
a + b = 64
(b + 8) + b = 64
2b + 8 = 64
2b = 64 - 8
2b = 56
b = 28
The first number is 28

Subtitute the value of b to the second equation
a = b + 8
a = 28 + 8
a = 36

The two numbers are 28 and 36

Vesna [10]3 years ago

4 0

The two numbers are 28 and 36

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