Ask Question
27 September, 19:58

The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number. Find the numbers

+4
Answers (1)
  1. 27 September, 23:55
    0
    The numbers are 19 and 71.

    Step-by-step explanation:

    Let x and y represent the two numbers. Then x + y = 90.

    Also, if we assume that the larger number is y, then y = 3x + 14.

    We must solve this system of linear equations. Since we already have the result of solution for y (y = 3x + 14), let's use the substitution method to find the solution:

    x + y = 90 becomes x + 3x + 14 = 90, or:

    4x = 76. Thus, x = 76/4, or 19. If x = 19, then y = 3 (19) + 14, or y = 71.

    The numbers are 19 and 71.

    Note that these add up to 90, as they must, and that 71 is 14 more than 3 times 19.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number. Find the numbers ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers