$Donald is 6 years older than Sophia. In 4 years the sum of their ages will be 74. How old is Donald now?$

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$Donald is 6 years older than Sophia. In 4 years the sum of their ages will be 74. How old is Donald now?$

Donald is 6 years older than Sophia. In 4 years the sum of their ages will be 74. How old is Donald now?

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Let $D$ denote Dona;d's age and $S$ denote Sophia's age. Then
\[(1) D=S+6.\]
In four years Donold will be $D+4$ and Sophia will be $S+4$. Hence
\[(D+4)+(S+4)=74 \Rightarrow D+S+8=74 \Rightarrow \]
\[ (2) D+S=66.\]
Substituting (1) in (2) we get
\[(S+6)+S=66 \Rightarrow 2S+6=66 \Rightarrow 2S=60 \Rightarrow S=\frac{60}{2}=30.\]
Subsitituting $S=30$ in (1) we get
\[D=30+6=36.\]
So Donold is $36$ years.

Erdos

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$Donald is 6 years older than Sophia. In 4 years the sum of their ages will be 74. How old is Donald now?$

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