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Michael is 12 years older than Lynn. The sum of the ages is 84. How old is Michael?

Answer :

Equations can be formed from the given data as,

[tex]\begin{gathered} M=L+12 \\ M+L=84 \end{gathered}[/tex]

Subtracting, both the equations we get,

[tex]\begin{gathered} M-(M+L)=L+12-84 \\ -L=L-72 \\ 2L=72 \\ L=\frac{72}{2} \\ L=36 \end{gathered}[/tex][tex]\begin{gathered} M=L+12 \\ M=36+12 \\ M=48 \end{gathered}[/tex]

Hence, Michael is 48 years old.

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