Answer:
53 and 17
Step-by-step explanation:
Let's set the two numbers as X and Y. Let Y be the larger number.
We learn that:
X+Y = 70 [value of two numbers of their sum is 70]
and that
Y-X = 36 [their difference is 36]
We have 2 equations and 2 unknowns. We should be able to find an answer.
Rearrange the second equation to isolate one of the variables. I'll choose X:
Y-X = 36
-X = -Y+36
X = Y - 36
Now use this definition of X in the first equation:
X+Y = 70
(Y-36) + Y = 70
2Y-36 = 70
2Y = 34
Y = 17
If Y = 17, then:
X+Y = 70
X + 17 = 70
X = 53
Check:
Is the sum of X and Y = 70?
53 + 17 = 70 YES
Is their difference 36?
53 - 17 = 36? YES
