Math #3 Grade School Prodigy

Question

What is the sum of 35 and diff. of 6.

Answer 1

Did you mean, what has a sum of 35 and a difference of 6. So,

x + y = 35

x-y = 6

I would use a well-informed guess and check strategy. I would start by looking at combinations that add up to 35, starting with ones where the difference between the 2 numbers will not be too huge (for example, there is no point trying 34 + 1 because there is no question that the difference between 35 and 1 is greater than 6!) or too small (18 -17 = 1, so it won't work).

I would probably make a chart to keep track. I'll start with 22+13

X Y SUM DIFFERENCE

22 13 35 9

21 14 35 7

20 15 35 5

So now I've discovered that this won't work with whole numbers.

How about 20.5 + 14.5? That equals 35. And 20.5 minus 14.5 equals 6!

So the answer would be 20.5 and 14.5.

Answer 2

Hello Hayden,

Is the question asking, “what are two numbers whose sum is 35 and whose difference is 6?”

If so, then your answer is 20.5 and 14.5.

20.5

+ 14.5

35

20.5

-14.5

6