Question

Three even numbers sum up to 104. The smallest is half the largest and the middle number is
2
3
the largest. What are the three numbers?

Answer 1

If The middle number is
2
3
the largest.

mean:

The middle number is 2 / 3 the largest.

then:


a = smalest number

b = middle number

c = largest number


a = c / 2

b = ( 2 / 3 ) c


a + b + c = 104

c / 2 + ( 2 / 3 ) c + c = 104

3 c / 6 + 4 c / 6 + 6 c / 6 = 104

13 c / 6 = 104 Multiply both sides by 6

13 c = 104 * 6

13 c = 624 Divide both sides by 13

c = 624 / 13 = 48

a = c / 2 = 48 / 2 = 24

b = ( 2 / 3 ) c = 2 * 48 / 3 = 96 / 3 = 32


a = 24

b = 32

c = 48