schneider188 schneider188
  • 13-09-2022
  • Mathematics
contestada

The greater of two numbers is 3 more than twice the smaller.Their sum is 24. Find the numbers.

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kendallsykes10p4b3jl
kendallsykes10p4b3jl kendallsykes10p4b3jl
  • 13-09-2022
Let the greater number be represented as g and the smaller number as s.

g + s = 24

(2s + 3) + s = 24

3s + 3 = 24

3s + 3 - 3 = 24 - 3

3s = 21

3s / 3 = s

21 / 3 = 7

s = 7

The smaller number is 7. Now, let’s plug 7 into our equation to find the bigger number:

7 + g = 24

7 + g - 7 = 24 - 7

g = 17

g + s = 24

17 + 7 = 24

The smaller number is 7, and the bigger number is 17.
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