Question

how do I solve this problem. The difference of two numbers is 67. Larger number is 3 less than 6 times the smaller. Find the two numbers.

Answer 1

Set up a system of equations...

you know that x - y = 67

and lets say larger number is y...so y = 6x - 3 since the larger number is 3 less...than 6 times the smaller

so your 2 equations are

x - y = 67
y = 6x - 3


since you now know what y = just plug that in for y in the first equation

x - (6x - 3) = 67

can you solve for x?

Answer 2

Thank you very Much :) I was not sure how to set it up!

Answer 3

Anytime! :)