58.4k views
11 votes
One number is 6 less than 5 times the other number. Their sum is 60. Find the numbers.

User Yancey
by
5.6k points

1 Answer

8 votes

Answer:

The numbers are 11 and 49.

Explanation:

x = 5y - 6 This is just the first sentence written as an equation.

x + y = 60 This is just the second sentence written as an equation.

5y - 6 + y = 60 Substitute x for what you know it is equal to

6y - 6 = 60 Collect like terms

6y = 66 Add 6 to each side

y = 11 Divide each side by 6

x = 5 × 11 - 6 Substitute y for what you know it is

x = 55 - 6 Simplify by working out 5 × 11 = 55

x = 49 Subtract 6 from 55 to get 49

User Prateek Yadav
by
5.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.