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4 votes
Two numbers add to 151 and the second is 21 bigger than the first. What are the two numbers?

2 Answers

4 votes
65 and 86 because 65+86=151
User Jdmayfield
by
7.8k points
4 votes
So lets look at it this way
2 numbers: x and y
and they both equal 151
sooo
x + y = 151

but we know that one is bigger by 21
sooo
x - 21 = y

And now we plug x - 21 for y
x + x - 21 = 151

No group the x's together
and our equation look like this

2x - 21 = 151 add 21 to both sides.
+21 = +21 the left side of the equal side is canceled out and we solve
************** on the right side
2x = 172 now divide both sides by 2
÷2 = ÷2 it cancels out on the left side, and we solve on the right side

so we end up with
x = 86

Now remember this from the beginning?
x - 21 = y
Well we plug in x with 86
86 - 21 = y
y = 65

So
x = 86
y = 65

and if you want to check your answer
just add them together to see if they add up to be 151

86 + 65 = 151
So the answer is correct :)


with love, the Pineapple
<3
User Cold
by
8.2k points

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