b) A mother is 24 years older than her daughter. Before eight years she was seven
times as old as her daughter. Find their present ages.
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Answer:
Daughters present age = 4 yrs
Mothers age = 4 + 24 = 28 yrs
Step-by-step explanation:
Ages 8 years ago:
Mother: 7 * x years old
Daughter: x years old
Current ages:
Mother: 7 * x + 8 years old
Daughter: x + 8 years old
However, we also know that the mother is 24 years older than the daughter now so currently:
7 * x + 8 = x + 8 + 24
Solve for x and calculate their ages:
7 * x + 8 = x + 32
6 * x = 24
x = 4
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