Question

The difference of two numbers is 15 and their ratio is 3:2. find the number​

Answer 1

Answer:

By using guess and check method, we will guess the some possible outcomes and test it out.

3 and 2 ( Difference is 1) X

6 and 4 (Difference is 2) X

9 and 6 (Difference is 3) X

45 and 30 (Difference is 15) Yes

Therefore by guess and check, the numbers are 45 and 30.

Method 2 requires mental modelling:

3U - 2U = 1U

As such, 1U represent the difference which is 15.

3U = 15 x 3 = 45

2U = 15 x 2 = 30

Therefore the numbers are 45 and 30.

I hope my answers are clear!

Answer 2

Answer:

Let the number be 3x and 2x

So 3x-2x=15

1x=15

X=15

2x=2x15

30

3x=3x15

45

So the required numbers are 30 and 45