Question 1031342
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In 1974 a mother is 6 times as old as her daughter. The mother turned 50 in the year 2000. In what year was the mother double her daughter’s age?
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Since the mother was 50 years old in 2000, she was 50 - (2000-1974) = 50 - 26 = 24 years old in 1974.

Hence, the daughter was {{{24/6}}} = 4 years old in 1974.

In "x" years after 1974, the daughter will be 4+x years old, while the mother will be 24+x years old.

We need to find "x" from the equation

2(4 + x) = 24+x.

8 + 2x = 24 + x,

x = 24 - 8 = 16.

1974 + 16 = 1990.

<U>Answer</U>.  In 1990 the mother doubles her daughter’s age.

<U>Check</U>.  In 1990 mother's age is/was 24 + 16 = 40 years.
        In 1990 the daughter's age is/was  4 + 16 = 20 years.   OK.
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