SOLUTION: Find two numbers whose sum is 72 and whose difference is 10. The two numbers are?

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Question 1163306: Find two numbers whose sum is 72 and whose difference is 10. The two numbers are?
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the smaller number.

Then the other number is x+10.


We have this equation


    x + (x+10) = 72


Then


    2x + 10 = 72

    2x = 72 - 10

    2x = 62

     x = 62/2 = 31.


ANSWER.  The numbers are  31  (the smaller)  and  31+10 = 41 (the greater).


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Find two numbers whose sum is 72 and whose difference is 10. The two numbers are?
Let larger number be L, and smaller, S

Then we get: L + S = 72 ------- eq (i)

Also, L - S = 10 ------- eq (ii)

Add the 2 equations and solve to get the value of L, the larger number.

Substitute the value of L in any of the 2 equations, preferably eq (i), to get the value of S, the smaller number.