One third of A's age added to a fifth of B's age is equal to one half of A's age. If the sum of their ages is 33, what are their respective ages?
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,
Let the age of B be x
Age of A = 13∗x
15 Years from Now
Age of B = (x+15)
Age of A = x3+15
Given, age of A will be half of the age of B
i.e; AgeofA=12∗AgeofB
or,x3+15=12∗(x+15)
or,x+453=x+152
or,2∗(x+45)=3∗(x+15)
or,2x+90=3x+45
orx=45
13∗x=453=15
Thus
Age of B = 45 years
Age of A = 15 Years
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