SOLUTION: The current age ratio of two girls is 1:3 after four years it will be 2:3, what is the current age of the older girl
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Question 951884: The current age ratio of two girls is 1:3 after four years it will be 2:3, what is the current age of the older girl
Found 2 solutions by ankor@dixie-net.com, KMST:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The current age ratio of two girls is 1:3 after four years it will be 2:3, what is the current age of the older girl
:
I don't this is possible, assuming the ages are integers, but let's try it
:
let x = the multiplier
then
1x = the age of one girl
3x = age of the older girl
:
=
Cross multiply
3(x+4) = 2(3x+4)
3x + 12 = 6x + 8
12 - 8 = 6x - 3x
4 = 3x
x = 4/3 is the multiplier
The younger girl is 4/3 which is 1 yr 4 months
then
3() = 4 yrs is the age of the older girl
:
Check this by finding their ages in 4yr
5 is the age in of the younger
8 yrs is the age of the older
:
Check the fraction using decimals on a calc = .6666 ~
:
:
This means that when the younger is 1 yr 4 months, the older is 4 yrs old
Seems like they would at least have integer ages here.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
There must be a typo, because as it is written it does not make sense.
The ages do not turn out to be whole numbers.
= current age of the younger girl, and
= current age of the older girl
"The current age ratio of two girls is 1:3" translates as
<---> , so
= current age of the younger girl,
= current age of the older girl,
= age of the younger girl after 4 years, and
= age of the older girl after 4 years.
The age ratio of two girls "after four years it will be 2:3" translates as
<---><--><--> ,
and the older girl's age would be .
Four years later, the older girl's age would be ,
and the younger girl's age would be
Although the ratios are as required:
and ,
ages are always truncated to whole number,
so years after being born, a girl's age is said to be ,
and years after birth, she is said to be years old.
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