the sum of present age of mother and daughter is x years five years hence the sum of their age will be ...years
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here comes as mother is 5x older than daughter hence daughter=5 years and mother=5×5=25years
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let x and y be the present age of mothey and daughter respectivel...
x + y = 50
x = 50 - y ––— (1)
after 29 years mother's age will be twice age of her child , any way ..
x + 20 = 2( y+ 20)
x - 2y = 20 ————(2)
from eq^ (1) and (2)
50 - y - 2y = 20
3y = 30
y = 10
substitute the value of y in eq^(1),we get
x = 50 - 10 = 40
hence, present age of mother and daughter is 40 and 10 respectively...
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