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Huilan is 8 years younger than Thomas. The sum of their ages is 76. What is Thomas's age?

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Let H denote the age of Hullan.

Let T denote the age of Thomas.

Huilan is 8 years younger than Thomas

Mathematically,


H=T-8\qquad eq.1

The sum of their ages is 76.

Mathematically,


H+T=76\qquad eq.2

Now let us substitute eq. 1 into eq. 2


\begin{gathered} H+T=76 \\ (T-8)+T=76 \\ T-8+T=76 \\ 2T-8=76 \\ 2T=76+8 \\ 2T=84 \\ T=(84)/(2) \\ T=42 \end{gathered}

Therefore, the age of Thomas is 42 years.

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