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2 In 5 years time I will be 5 times as old as I was 11 years ago. Form a suitable equation, and hence determine my age. \(? \)

Solution

2 In 5 years time I will be 5 times as old as I was 11 years ago. Form a suitable equation, and hence determine my age. \( ? \)

Solution

my age is : 21 \frac{2}{3}

Solution steps

Translate the problem into an equation:

2 (x + 5) = 5 (x - 11)

Solve for

x, 2 (x + 5) = 5 (x - 11) : x = \frac{65}{3}

Convert improper fractions to mixed numbers:

21 \frac{2}{3}

my age is : 21 \frac{2}{3}

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