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What are the two numbers if the sum of two numbers is 25 one number is 7 less than the other?

Published in Math Problem Solving 1 min read

The two numbers are 9 and 16. This can be determined using algebra.

Solving the Problem Algebraically

Here's how to solve this problem using algebra, as suggested by the reference:

  • Define the variables:

    • Let 'x' be one number.
    • The other number is 'x + 7' (since one number is 7 less than the other, the other is 7 more).
  • Set up the equation:

    • The sum of the two numbers is 25, so: x + (x + 7) = 25
  • Solve for x:

    • 2x + 7 = 25
    • 2x = 25 - 7
    • 2x = 18
    • x = 9
  • Find the other number:

    • The other number is x + 7 = 9 + 7 = 16

Therefore, the two numbers are 9 and 16.

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