Two numbers are in the ratio 5:3.If they differ by 3 find these numbers.

Explanation

Two numbers are in the ratio 5:3 means that the larger number is 5x and the smaller is 3x, for some positive real number x.

They differ by 3, so 5x-3x = 3. That equation solves to x = 3/2 = 1.5

The numbers are therefore

5x = 5*1.5 = 7.5

3x = 3*1.5 = 4.5

The ratio 7.5:4.5 simplifies to 5:3 when you divide both parts by 1.5

Note how 7.5-4.5 = 3, which confirms the other requirement.

step-by-step explanation:

the first 5 right here the next 5 i will upload as separate question