# Thread: Find a three-figure number

1. ## Find a three-figure number

Find two three-figure numbers, of which one is 5 times greater than another, and sum of these numbers would divide by 498.

Would you mind telling me what should I start at?..

2. First tell us what the problem really says! "would divide by 498" is bad grammer and meaningless. Do you mean "would divide 498" or "is divisible by 498"?

Second, let the smaller of the numbers be x so that the other is 5x. Their sum is 6x. Now you need either that $\displaystyle \frac{498}{6x}$ is an integer or that $\displaystyle \frac{6x}{498}$ is an integer depending upon which of the above you meant. In either case, the fact that 498= 6(83) helps. The fact that 83 is prime is also important.

3. Originally Posted by Ellla
Find two three-figure numbers, of which one is 5 times greater than another, and sum of these numbers would divide by 498.

Would you mind telling me what should I start at?..
Lets assume you mean the sum is divisible by 498, how many candidates for the sum are there and what are they?

CB