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The sum of 2 numbers is 19 and their difference is 1.What are the 2 numbers?
Jude Miller
9 and 10
First the main formulas:
a+b=19
a-b=1
Find out what one of the variables are.
We can choose "a" or "b" from either of the two formulas.
Let's choose "a" from the a-b=1 formula.
a - b = 1 [formula]
a-b (+b) = 1 (+b) [solve for "a" by removing "b"]
a = 1+b
Plug that "a" into the other formula a+b=19.
a + b = 19
(1+b) +b = 19
1 + 2b = 19
1 + 2b - 1 = 19 -1
2b = 18
b = 9
Plug that into our formula solved from before for "a"
a = 1 + b
a = 1 + (9)
a = 10
ZaStaR
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