SOLUTION: Can you help me solve this? the sum of two numbers is 45. if 4 times the smaller is increased by 3 times the larger, the result is 150. Find the numbers

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Question 354639: Can you help me solve this?
the sum of two numbers is 45. if 4 times the smaller is increased by 3 times the larger, the result is 150. Find the numbers

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
let n represent the smaller number. Then (45-n) would be the larger
.
question states *
4n + 3(45-n) = 150
.
4n + 3*45 -3n = 150
.
n + 135 = 150
n = 15
.
15 and 30 are the numbers
.
check your answer
60 + 90 = 150