SOLUTION: In 4 years, a mother will be 5 times as old as her daughter. At present, the mother is 9 times as old as the daughter. How old are the mother and daughter today?
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Question 1112765: In 4 years, a mother will be 5 times as old as her daughter. At present, the mother is 9 times as old as the daughter. How old are the mother and daughter today?
The literal translation of words to Math is THIS:
M + 4 = 5*(D+4), (1)
M = 9D. (2)
Substitute eq(2) into eq(1) to get
9D + 4 = 5*(D+4),
9D + 4 = 5D + 20 ====> 9D - 5D = 20 - 4 ====> 4D = 16 ====> D = = 4.
Answer. Daughter is 4 years old. The mother is 9*4 = 36 years old.
