SOLUTION: I need to solve the following word problem, I have to show the equation I use for the solution. One number is 7 less than another. If 4 times the smaller number plus 2 times t

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Question 185238: I need to solve the following word problem, I have to show the equation I use for the solution.

One number is 7 less than another. If 4 times the smaller number plus 2 times the larger number is 62, find the two numbers.
I just don't get these at all. Thanks, Dawn
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

x is the large number

x - 7 is the smaller number

Four times the smaller number: 4(x - 7).

Two times the larger number: 2x.

So:

Solve for x to get one of the numbers, and then subtract 7 to get the other one.

John

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = the larger number
Let = the smaller number
given:
(1)
(2)
-----------------
You have 2 equations and 2 unknowns. In all
cases where the number of unknowns = the number of equations,
the problem is solvable.
I'll substitute (1) in (2)
(2)
(2)
(2)
(2)
Now plug this result back into (1)
(1)
(1)
The larger number is 15 and the smaller is 8
check answer:
(2)
(2)
(2)
(2)
OK