SOLUTION: A brother is 3years older than his sister,5years ago,the ratio of their ages was 4:3.find their present ages

Question 884192: A brother is 3years older than his sister,5years ago,the ratio of their ages was 4:3.find their present ages
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = brother's age now
Let = sister's age now
--------------------------
(1)
(2)
-----------------------------
(2)
(2)
(2)
and
(1)
Multiply both sides of (1) by
and subtract (2) from (1)
(1)
(2)
---------------------

and, since
(1)
(1)
(1)
The sister is 14 and the brother is 17
check:
(2)
(2)
(2)
OK

RELATED QUESTIONS
A brother is five years older than his sister. Four(4) years ago,the ratio of their ages (answered by richwmiller)

A brother is 3 years older than his sister, five years ago, the ratio of their ages were... (answered by ikleyn,josgarithmetic,greenestamps)

A woman is older than her daugther by 25years. 3years ago, the ratio of their ages was... (answered by fractalier)

A man is 4 times older than his son.5years ago the product of their age was 175. Find... (answered by stanbon)

Kofi is 3years older than Ama. If the ratio of their ages is 4:3. Find their ages. (answered by josmiceli)

A woman is older than her daughter by 25 years. Three years ago, the ratio of their ages... (answered by VFBundy,greenestamps)

A is 20years older than b.5years ago,a was 3 times as old as b.find their present ages. (answered by stanbon)

Peter is 3years older than his brother. The product of their ages is 270. Find Peter�s... (answered by Boreal)

a man is six years older than his wife.six years ago the ratio of their ages wa 7:6 find... (answered by ankor@dixie-net.com)