Ask Question
7 June, 23:43

The age of the two friends were in the ration of 6:5. If the sum of their ages is 55. Then after how many years their ratio will become 8:7?

a. 11

b. 7

c. 10

d. 12

+3
Answers (1)
  1. 7 June, 23:58
    0
    Ratio is 6:5, the sum is 55.

    6x + 5x = 55

    11x = 55

    x = 55/11

    x = 5

    Their ages now are:

    6*5 = 30 years old

    5*5 = 25 years old

    Lets find their ages for the ratio of 8:7

    Let y = years:

    30 + y / 25 + y = 8/7

    Cross multiply:

    8 (25 + y) = 7 (30 + y)

    200 + 8y = 210 + 7y

    y = 10

    The answer is C. 10
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The age of the two friends were in the ration of 6:5. If the sum of their ages is 55. Then after how many years their ratio will become ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers