Question

One number is 6 less than another.Three times the smaller is 2 more than twice the larger. What are the numbers?

Answer 1

`20and14`

Explanation:

Let the larger number be `x`

Then the smaller number will be `x-6`

Three times the smaller number is `3(x-6)`, which is equal to two more than twice the other number which is `2x+2`

So,

`rarr3(x-6)=2x+2`

Use the distributive property `color(blue)(a(b+c)=ab+ac`

`rarr3x-18=2x+2`

Add `18` both sides

`rarr3x=2x+20`

Subtract `2x` both sides

`color(green)(rArrx=20`

We know that the larger number is `20`

So, the smaller number is `20-6=color(green)(14`