The difference of 2 numbers is 72 and the quotient is 10, what are the 2 numbers?

Answer 1

The difference of 2 numbers is 72 and the quotient is 10, what are the 2 numbers? This problem asks us to solve the problem using the substitution method.

We are trying to find 2 numbers so let's set the unknown values as x and y.

Write the equation in terms of unknown numbers (x, y) and known numbers (72, 10).

first equation: x - y = 72 (the difference of 2 numbers is 72)

second equation: x/y = 10 (the quotient of the 2 numbers is 10)

x=10y

Substitute x in first equation with x=10y.

10y - y = 72

9y = 72

y = 8

So y = 8.

x-8=72

x= 72+8

x=80.

Thus the 2 numbers are: x=80 and y=8.

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Answer 2

x = number

y = number

x - y = 72 difference of two numbers is 72

x/y = 10 quotient of two numbers is 10

x = 10y solve for x in above equation

10y - y = 72 substitute for x in first equation

9y = 72 solve for y

y = 8

x - 8 = 72 plug value of y into first equation to solve for x

x = 80

two numbers are 80 and 8.