Question

The greater of two numbers is 15 more than the lesser number. Five times the greater number is 40 more than twelve times the lesser number. Find the numbers.

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Answer 1

the two numbers are 5 and 20.

Explanation:

Let the lesser number be x and the greater number be y.

According to the problem, we have:

y = x + 15 --- Equation 1

5y = 12x + 40 --- Equation 2

Substituting Equation 1 into Equation 2, we get:

5(x + 15) = 12x + 40

5x + 75 = 12x + 40

7x = 35

x = 5

Substituting x = 5 in Equation 1, we get:

y = x + 15 = 5 + 15 = 20

Therefore, the two numbers are 5 and 20.