SOLUTION: A larger number is 7 more than 3 times a smaller number. if the smaller number is subtracted from the larger number, the difference is 61. find the two numbers (write and solve

Question 665239: A larger number is 7 more than 3 times a smaller number. if the smaller number is subtracted from the larger number, the difference is 61. find the two numbers
(write and solve the equation needed to find both numbers. also state what x represents)
represent the smaller number:
represent the larger number:
write the equation and solve:
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Establish variables
x = larger number
y = smaller number
...
Given
x = 7+3y

...
Substitute x into the second equation
7+3y - y = 61
...
Combine like terms
3y-y = 61 - 7
2y = 54
...
Divide both sides by 2
as the smaller number
...
Rearrange x = 7+3y to y =
Substitute into the equation and solve for x
x - = 61
...
Multiply the equation by 3 to be rid of the fraction
3x - (x-7) = 183
3x - x + 7 = 183
...
Combine like terms
3x - x = 183-7
2x = 176
...
Divide both sides by 2
as the larger number
.......
Numbers are and
.......
Check
.....................
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