Answer:
Step-by-step explanation:
Given that Eugene is 18 years old, and his brother Bobo is 12, you want the ratio of their ages now, and the ratio in 6 years.
The ratio of Eugene's age to Bobo's age is ...
E/B = 18/12 = 3/2
The ratio of their ages now is 3:2.
In 6 years, each will be 6 years older. The desired ratio is ...
B'/E' = (12+6)/(18+6) = 18/24 = 3/4
The ratio of their ages in 6 years will be 3:4.
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Additional comment
Please note that the problem statement reverses the ratio. It first asks for E/B, then it asks for B/E.
The ratio of Eugene's current age to Bobo’s is 3:2. In six years, Eugene will be 24 years old and Bobo will be 18 years old. The ratio of Bobo’s age to Eugene’s age then will be 3:4.
The question deals with the concept of ratios and basic arithmetic operations within mathematics.
To find the ratio of Eugene's age to his brother's, we divide Eugene's age by Bobo's age. Currently, Eugene is 18 years old and Bobo is 12 years old.
So, the ratio of Eugene’s age to Bobo’s age is 18:12, which can be simplified to 3:2 by dividing both numbers by 6.
In 6 years, we need to add 6 to their current ages to get their future ages. Thus:
The ratio of Bobo's age to Eugene's age at that time will be 18:24, which simplifies to 3:4 when we divide both sides by 6. Therefore, the ratio of Bobo’s age to Eugene’s in 6 years will be 3:4.
