Question

A number combined with 6 results in 18

Answer 1

Answer:

The quick answer is that the two numbers are 6 and 12.

Here’s how to figure it out:

Let’s say one of the mystery numbers is a and the other is b.

We know that:

a + b = 18 (both numbers add to 18)

b-a = 6 (the difference between the two numbers is 6)

Rearranging a + b = 18 gives us: b = 18 - a

Substitute (18-a) into b to get:

18-a-a=6

Which simplifies to 18–2a = 6

Multiply both sides by 2a and subtract both sides by 6 to get: 18 - 6 = 2a

(We moved the “-2a” to the other side to make it a positive and the “6” to it’s opposite side to make it a negative)

2a = 18 - 6

2a = 12

a = 12/2

a = 6

So, that means: 6 + b = 18

Rearrange to get: b = 18 - 6

b = 12

Let’s check:

6 + 12 = 18 (Correct and it works)

12 - 6 = 6 (Correct and this also works!)

Therefore a = 6 and b = 12.