SOLUTION: The sum of two numbers is 48. Three times the smaller number is the same as 32 more than the larger. Find the two numbers.

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Question 185005: The sum of two numbers is 48. Three times the smaller number is the same as 32 more than the larger. Find the two numbers.
Answer by J2R2R(94) About Me  (Show Source):
You can put this solution on YOUR website!
Let the two numbers be X and Y.
We know X + Y = 48
We are told that three times the smaller is 32 more than the bigger, so by taking 32 from three times the smaller we have the bigger. This gives 3X – 32 = Y
Substitute Y = 3X – 32 into X + Y = 48 gives X + 3X – 32 = 48
4X – 32 = 48
4X = 80
X = 20, Y = 28
Check: 3 x 20 (=60) is 32 more than 28. Correct.