SOLUTION: One number is six less than a second number. Six times the first is 3 more than 3 times the second. Find the numbers

Question 1058386: One number is six less than a second number. Six times the first is 3 more than 3 times the second. Find the numbers
Answer by solve_for_x(190) (Show Source): You can put this solution on YOUR website!
Let x represent the first number, and x + 6 represent the second number.

Then "six times the first is 3 more than 3 times the second" can be written as the
following equation:

6x = 3(x + 6) + 3

Expanding the terms on the right side gives:

6x = 3x + 18 + 3

6x = 3x + 21

6x - 3x = 21

3x = 21

x = 7

The first number is 7.

The second number is x + 6 = 7 + 6 = 13.
RELATED QUESTIONS
one number is six less than a second number. twice the first is 3 more than 5 times the... (answered by josgarithmetic,MathTherapy)

One number is four less than a second number. Six times the first number is 8 more than 2 (answered by Boreal)

One number is six less than a second number. Three times the first is 10 more than 5... (answered by stanbon)

One number is seven less than a second number. Six times the first is 6 more than 4 times (answered by ikleyn)

One number is two less than a second number. Six times the first is 3 more than 3 times... (answered by EdenWolf)

One number is five more than a second number. Four times the first number is six more... (answered by Katarekt)

one number is six more than the second number. Five times the first is 7 less than 4 time (answered by solver91311)

One number is two less than a second number. Six times the first is 44 more than 4 times... (answered by ankor@dixie-net.com)