Question

Two numbers are consecutive positive multiples of 3. Three

times the larger of the numbers is 7
10
of 5 times the smaller.
What are the numbers?

Answer 1

9514 1404 393

Answer:

18, 21

Explanation:

Let x represent the smaller number. Then x+3 is the larger number, and the other relation between them is ...

3(x+3) = (7/10)(5x)

6x +18 = 7x . . . . . multiply by 2 and simplify

18 = x . . . . . . . . . . subtract 6x

The two numbers are 18 and 21.