Question

Find two numbers whose difference is 18 and the ratio of larger number to the smaller number is 5:4

Answer 1

Answer:

90 and 72

Step-by-step explanation:

Let the numbers be a and b

We have:

a-b=18

and

a/b=5/4

From the first equation we get a=b+18

From the second equation we get a=5b/4

Comparing the above two equations we have:

b+18=5b/4 =>

4b+72=5b

b=72

So, we know value of b, we can find value of a: a=b+18=72+18=90

Answer: 90 and 72

Answer 2

Step-by-step explanation:

let larger number be x and smaller number be y.

x-y=18

x/y=5/4

4x=5y

x=5y/4

5y/4-y=18

5y-4y/4=18

y/4=18

y=72

x=5×72/4

x=5×18

x=90