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

pay attention in your classes and concentrate the best thing you can do to raise your test scores is to pay attention when you're supposed to be learning the material: in class!

take good notes.

do your homework.

use mnemonics and other tricks.

do practice tests.

note: the best i know.