Question

A and B are positive integers. If A + B + AB = 65, then what is the difference between A and B (A, B ≤ 15)?

Answer 1

Answer:

Difference between A & B  = 5

Explanation:

Given equation is-

A + B + AB = 65

Condition is, A and B must be less than or equal to 15 (A, B ≤ 15)

now we guess the value of A & B and check for the given equation.

Suppose A = 10 & B = 5

10  + 5 + 10*5

= 15 + 50

= 65

So, Value of A = 10 & B= 5 or A = 5 & B = 10

Now find the difference between A & B

Difference between A & B  = 5

That's the final answer.

I hope it will  help you.

Answer 2

Answer:

5.

Step-by-step explanation

A + B + AB = 65

A and B must be less than or equal to 15 (A, B ≤ 15).

Consider, A = 10 & B = 5

10  + 5 + 10*5

= 15 + 50

= 65

Value of A = 10 & B= 5

Difference between A - B  = 10-5 = 5