four years age the ration of the age of a mother and her daughter was 3:4 . the sum of there present ages is 56 years. find the present age of ther daughter
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1
Step-by-step explanation:
Let assume present age of the mother is X and Daughter’s present age is Y.
Step 1
Sum of therir present age is 56.
Equation 1 : X + Y = 56
Equation 2 : X = ( 56 - Y )
4 years ago therie age ratio is 3:1.
Step 2
Equation 3 : [ (X-4) / (Y-4) ] = [ 3 / 1 ]
From Equation 1 and Equation 2 we can write Equation 3 as
by put value X = ( 56 - Y ) we get
[ (56 - Y) - 4 / (Y - 4) ] = [ 3 / 1 ]
(56 - Y) - 4 = 3 (Y - 4)
52 - Y = 3Y - 12
64 = 4Y
Y = 16
And by putting value Y in Equation 2 we get
X = ( 56 - Y )
X = 40
We can say that Present age for Daughter is 16 years and Mother is 40 Years old.
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