Question

The larger of two numbers is five more than twice the smaller number. The sum of the two numbers is 38. Find the numbers.

Answer 1

Let the 2 no.s be x and x+15. According to the question,. x+x+15=41. 2x+15=41. 2x=41−15. 2x=26. x=262. x=13. ∴ The no.s are 13 and 13+15=28.

Explanation:

Answer 2

I would set this up as:

let: lesser number = x

greater number = 2x + 5

Restating the word problem:

lesser number + greater number = 38

x + 2x + 5 = 38

Solving: 3x + 5 = 38

- 5 -5

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3x = 33

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3 3

x = 11

Substitution for the greater number:

2(11) + 5

22 + 5

27