15.7k views
14 votes
The difference between two numbers is 3. The sum of the same tow numbers is 13. What is the

product of the two numbers?

User Toashd
by
3.8k points

1 Answer

4 votes

Answer: 40

Explanation:

Let the two numbers be a and b.

Therefore,

a - b = 3 ....... i

a + b = 13 ....... ii

From equation I, a = 3 + b

Put a = 3+b into equation ii

a + b = 13

3 + b + b = 13

3 + 2b = 13

2b = 13 - 3

2b = 10

b = 10/2

b = 5

Since a = 3 + b

a = 3 + 5

a = 8

The product of the numbers will be:

= 8 × 5

= 40

User Melchiar
by
3.2k points