Question

The sum of two numbers is 42. The greater number is equal to 5 times the smaller number. Find the numbers.

Answer 1

Answer:

35 and 7

Step-by-step explanation:

5x + 1x =42

6x=42

x=7

Answer 2

Answer:

Greater number: 35

Smaller number: 7

Step-by-step explanation:

1) Set up system of equations.

Let x = greater number

Let y = smaller number

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x + y = 42

x = 5y

2) Solve them using elimination or substitution.

x + y = 42

x - 5y = 0

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6y = 42

y = 42/6

y = 7

3) Substitute the found answer into one of the two equations to find the value of x.

x = 5(7)

x = 35

Therefore, the greater number is 35, and the smaller number is 7.