SOLUTION: the larger of two numbers is 7 more than three times the smaller number.when the smaller number is subtrcted from the larger number, the result is 13. find the two numbers.

Question 294253: the larger of two numbers is 7 more than three times the smaller number.when the smaller number is subtrcted from the larger number, the result is 13. find the two numbers.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the larger of two numbers is 7 more than three times the smaller number.
when the smaller number is subtracted from the larger number, the result is 13.
find the two numbers.
:
Let x = the larger number
Let y = the smaller number
:
Write an equation for each statement:
:
"the larger of two numbers is 7 more than three times the smaller number."
x = 3y + 7
:
"when the smaller number is subtracted from the larger number, the result is 13."
x - y = 13
x = y + 13
:
find the two numbers.
:
replace x with (y+13) in the 1st equation: x = 3y + 7
y + 13 = 3y + 7
13 - 7 = 3y - y
6 = 2y
y = 3
then
x = 3 + 13
x = 16
:
:
Check solution in the statement:
'the larger of two numbers is 7 more than three times the smaller number."
16 = 3(3) + 7

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