Question

The sum of two numbers is 30. Their difference is 6. What are the numbers?

6 and 24
12 and 18
10 and 20
8 and 14

Answer 1

Okay lets start by getting rid of the ones that don't have a difference of 6. We are now left with '12 and 18' and '6 and 14'. If we take a look we can see that '6 and 14' add up to 20. So it is clear that only '12 and 18' add up to 30 and have a difference of 6.

Answer 2

Find out the numbers .

To prove

Let us assume that one number be x.

Let us assume that second number be y.

As given

The sum of two numbers is 30.

Than the equation becomes

x + y = 30

Their difference is 6.

x - y = 6

Thus two equation are .

x + y = 30 and x - y = 6

Subtracted x - y = 6 from x + y = 30

x - x + y - (-y) = 30 - 6

y + y = 24

2y = 24

`y = (24)/(2)`

y = 12

Put in the x - y = 6

x - 12 = 6

x = 6 + 12

x = 18

Therefore the two numbers are 12 and 18 .