In 4 years' time, Ben will be 3 times as old as his younger brother.Ben is 14 years older than his younger brother. How old is Ben now?
Question
In 4 years' time, Ben will be 3 times as old as his younger brother.Ben is 14 years older than his younger brother. How old is Ben now?
Solution
Let's denote Ben's current age as B and his brother's current age as b.
From the problem, we know that:
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In 4 years, Ben will be 3 times as old as his brother. This can be written as: B + 4 = 3 * (b + 4).
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Ben is 14 years older than his brother. This can be written as: B = b + 14.
Now we can solve these equations step by step:
Step 1: Substitute the second equation into the first one: b + 14 + 4 = 3 * (b + 4).
Step 2: Simplify the equation: b + 18 = 3b + 12.
Step 3: Rearrange the equation: 2b = 6.
Step 4: Solve for b: b = 3.
Step 5: Substitute b = 3 into the second equation: B = 3 + 14 = 17.
So, Ben is currently 17 years old.
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