The smaller of two numbers is five less than 1/3 the larger number. half the larger added to the smaller is 10. find the numbers.

The numbers are 1 and 18

Solution:

Let the smaller number be "x"

Let the larger number be "y"

Given that smaller of two numbers is five less than the larger number

smaller number = one - third of larger number - 5

3x = y - 15

y = 3x + 15 ------- eqn 1

Half the larger added to the smaller is 10

y + 2x = 20 ------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

3x + 15 + 2x = 20

5x = 20 - 15

5x = 5

From eqn 1,

y = 3(1) + 15 = 18

Thus the numbers are 1 and 18

step-by-step explanation:

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step-by-step explanation:

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