Verified Answer :

Add Daniel's current age and 15

Then add Chris' current age and 14
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Daniel: 

\(2 \frac{1}{2} + 15\)

Write mixed number as an improper fractions and add 1 as a denominator for 15.

\(\frac{5}{2} + \frac{15}{1}\)

Both denominators should be of same number so, multiply \(\frac{15}{1}\) by 2

\(\frac{5}{2} + \frac{30}{2} = \frac{35}{2}\)

Write \(\frac{35}{2}\) as a mixed number which gives us:

\(17 \frac{1}{2}\)

Daniel's Age in 15 years would be \(17 \frac{1}{2}\)
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Chris:

2 + 14 = 16

Chris' age in 14 years would be 16