Question

The sum of two numbers is 10. The larger number is 4 times the smaller number. What are the two numbers?

Answer 1

Answer:

Equation 1: x + y = 10

Equation 2: y = 4x

Step-by-step explanation:

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Answer 2

Answer:

8 and 2

Step-by-step explanation:

Let x = the smaller number.

Let y = the larger number.

Let the numbers be x and y

x+y = 10 ..............(1)

y= 4x ........(2)

Put value of y into equation 1

x + y = 10

4x + x = 10

5x = 10

Divide both sides by 5

x = 10/5  = 2

Put value of y into equation 2

y= 4x

y= 4(2)

y = 8

Therefore the numbers are 8 and 2

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