Question

The difference, the sum and the product of two integers are in the proportion 1:3:10. The two integers are?
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Answer 1

Answer:

We let the two numbers be xx and y.y.

So,

x-yx+yxy =k=7k=18k

Adding the first two equations,

2x=8k Rightarrow x=4k

Subtracting the two equations now,

-2y=-6k Rightarrow y=3k

Thus,

xy=(4k)(3k)=12k 2xy=(4k)(3k)=12k2

But this is also equal to 18k,18k, so:

12k2=18k12k2=18k

2k2=3k

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