Carol is five times as old as her brother.she will be three times as old as her brother in two years.how old is carol mow?

2

2014-11-28T21:17:06+08:00
Let 'y' be the age of Carol at present
'x' be the age of Carol's brother at present
-------------------------------------
-Carol is 5 times as old as her brother
y = 5x  -----equation 1
------------------------------------
-She will be 3 times as old as her brother in two years
y + 2 = 3(x+2)
y + 2 = 3x + 6
y -3x = 6 - 2
y - 3x = 4     ----equation 2
----------------------------------
Substitute equation 1 to equation 2
y - 3x = 4
5x - 3x = 4
2x = 4
x = 2 yrs old
--------------------------------
Substitute x=2 to equation 1
y = 5x
y = 5(2)
y = 10 yrs old
---------------------------------
Therefore Carol is 10 yrs old.
salamat po.
2014-11-29T16:48:44+08:00

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
X-brother
5x-carol

5x=3(x+2)
5x=3x+6
2x=6
x=3

Therefore carol's age is 15 and her brother's age is 3.

Hope this helps=)
thank you..