1. The sum of three numbers is 24. Twice the smallest number is 2 less than the largest number, and the largest number is equal to the sum of the other two. What are the three numbers?

Question

Mathematics

Daniel Huerta

17 February, 05:42

1. The sum of three numbers is 24. Twice the smallest number is 2 less than the largest number, and the largest number is equal to the sum of the other two. What are the three numbers?

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Answers (1)

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Henry Richardson · Answer 1

X, y, z are te numbers

x+y+z=24

let's say x is smalest and z is biggest

2x=z-2

z=x+y

nice

so we got

x+y+z=24

so subsitute z for x+y

z+z=24

2z=24

divide both sides by 2

z=12

sub back

2x=z-2

2x=12-2

2x=10

divide by 2

x=5

sub back

z=x+y

12=5+y

minus 5 both sides

7=y

the numbers are

5,7,12