the sum of a whole number A and a whole number B is 16, and the ratio A: B is equivalent to 5: 3. Find A and B.

Answer: A is 10; B is 6

Step-by-step explanation:

Let the sum of a whole number A and a whole number B = 16

A + B = 16

The ratio A: B = 5: 3

Possible whole numbers whose ratio gives 5 : 3 are 10 and 6, 15 and 9, 20 and 12 etc. However, since A + B must equal 16, only 10 and 6 fulfil the condition

So, let A be 10, while B is 6

10 + 6 = 16

The ratio 10 : 6 = 10/6 = 5/3

Thus, the value of A is 10; while B is 6