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The ages of two brothers are in the ratio two to three, but in eight years, the ratio of their ages will be three to four. What is the age of the younger brother? 16 18 24
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2 votes
The ages of two brothers are in the ratio two to three, but in eight years, the ratio of their ages will be three to four. What is the age of the younger brother?

16
18
24

User Anil Mathew
by
8.0k points

2 Answers

3 votes
Let the two brothers ages be 2x and 3x.

Eight yrs. from now DATA:
2x will be 2x+8
3x will be 3x+8

Eight yrs from now EQUATION:
2x+8/3x+8 = 3/4

Cross-multiply to get:
3(3x+8) = 4(2x+8)
9x+24 = 8x+32
x = 8

2x = 16 (one of the brother's age)
3x = 24 (the other brother's age)
User Eugene Gavrilov
by
7.9k points
5 votes
The younger brother is 16.
User Amedio
by
8.1k points
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