The present ages of the two people are 46 years and 60 years, respectively. If after 'k' years, the ratio of their ages is 4:5, then the value of 'k' is:
10
Let the present age of the first person be 46 years, and the second person be 60 years.
After 'k' years, their ages will be (46 + k) and (60 + k) respectively.
We are given that the ratio of their ages after 'k' years is 4:5. So, we can write the equation:
(46 + k) / (60 + k) = 4/5.
Cross-multiply to solve for 'k':
5(46 + k) = 4(60 + k).
230 + 5k = 240 + 4k.
Solving for k: 5k - 4k = 240 - 230, so k = 10.
Therefore, the value of k is 10.
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