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.

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) (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.
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