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Alex is 2 years younger than Bindoy. Four years ago, 1/4 the age of Bindoy was a third of Alex's age. How old is each boy?

 Nov 20, 2015

Best Answer 

 #1
avatar+6248 
+15

Alex is 2 years younger than Bindoy. Four years ago, 1/4 the age of Bindoy was a third of Alex's age. How old is each boy?

\(a = b-2 \\ \dfrac 1 4 (b-4)=\dfrac 1 3 (a-4)\)

 

\(\dfrac 1 4(b-4)=\dfrac 1 3 (a-4) = \dfrac 1 3 (b-2 - 4)\\ \dfrac b 4 - 1 = \dfrac b 3 - 2 \\ 1 = \dfrac b {12} \\ b=12 \\ a=10\)

 

Bindoy is 12 yrs old.  Alex is 10 yrs old.

 Nov 20, 2015
edited by Rom  Nov 20, 2015
 #1
avatar+6248 
+15
Best Answer

Alex is 2 years younger than Bindoy. Four years ago, 1/4 the age of Bindoy was a third of Alex's age. How old is each boy?

\(a = b-2 \\ \dfrac 1 4 (b-4)=\dfrac 1 3 (a-4)\)

 

\(\dfrac 1 4(b-4)=\dfrac 1 3 (a-4) = \dfrac 1 3 (b-2 - 4)\\ \dfrac b 4 - 1 = \dfrac b 3 - 2 \\ 1 = \dfrac b {12} \\ b=12 \\ a=10\)

 

Bindoy is 12 yrs old.  Alex is 10 yrs old.

Rom Nov 20, 2015
edited by Rom  Nov 20, 2015

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