SOLUTION: May i please Know the steps to solve a question such as:- The ages of a mother and daughter are 31 and 7 years respectively. In how many years will the mother's age be 3/2 times t

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Question 481557: May i please Know the steps to solve a question such as:-
The ages of a mother and daughter are 31 and 7 years respectively. In how many years will the mother's age be 3/2 times that of daughter

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The ages of a mother and daughter are 31 and 7 years respectively.
In how many years will the mother's age be 3/2 times that of daughter
:
Let y = no. of years for this to be true
:
y + mothers age = 3%2F2* y + daughter's age
the equation
y + 31 = 3%2F2(y + 7)
Get rid of the denominator, multiply both sides by 2
2(y+31) = 3(y+7)
:
2y + 62 = 3y + 21
:
62 - 21 = 3y - 2y
:
y = 41 yrs for this to be true
:
:
See if it works out
41 + 31 = 3%2F2(41+7
72 = 3%2F2(48)
72 = 3(24); confirms our solution
:
:
Were these step understandable to you?