Question

# I am now three years younger than twice what my age was 6 years ago. What is my age now?

Solution

## We will let $$a$$ be your age now.Your age $$6$$ years ago would then be expressed as $$a-6$$ yearsTwice your age six years ago can be expressed as $$2\left( a-6 \right)$$ or $$2a-12$$Therefore, the equation can be written as,$$a=\left( 2a-12 \right) -3$$$$\therefore a=2a-15$$$$\therefore a+15=2a-15+15$$$$\therefore a+15=2a$$$$\therefore a+15-a=2a-a$$$$\therefore 15=a$$$$\therefore a=15\ years$$Mathematics

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