SOLUTION: The sum of present ages of Ian and his brother is 45. In 5 years, Ian will be 5/6 of his brother's age. Find their present ages.

Question 503361: The sum of present ages of Ian and his brother is 45. In 5 years, Ian will be 5/6 of his brother's age. Find their present ages.
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=Ian's age
And let y=his brother's age
x+y=45----------------------eq1
and
x+5=(5/6)(y+5) multiply each term by 6
6x+30=5(y+5) or
6x+30=5y+25 subtract 5y and also 30 from each side
6x-5y=-5----------------eq2
multiply eq1 by 5 and add it to eq2 and we get:
11x=220
x=20-------------Ian's age
from eq1, 20+y=45
y=25 -----------brother's age
CK
20+25=45
45=45
and
20+5=(5/6)(25+5)
25=25
Hope this helps-----ptaylor
RELATED QUESTIONS
Dear sir/madam, Thank you very much for taking the time to help me. This is my... (answered by mananth)

The sum of the present ages of Ian and his Brother is 45, In 5years, Ian's age will be... (answered by chessace,Maths68)

The sum of the present ages of a man and his brother is 40 years. In seven years, The man (answered by partha_ban)

Kyle is 24 years older than his brother. In three years the sum of their ages will be 68. (answered by TimothyLamb,MathTherapy)

1. Samuel is 2/3 as old as his brother. In five years, he will be 3/4 as old as his... (answered by richwmiller)

Ian is 5 years older than Carolyn. In 9 years the sum of their ages will be 79. How old... (answered by josgarithmetic)

Kwame’s age is six(6) times that of his brother. In Ten(10) years time, kwame will be... (answered by ikleyn)

Jill is 5 years younger than his brother. 10 years from now, the sum of their ages will... (answered by macston)

Jill is 5 years younger than his brother. Ten years from now, the sum of their ages will... (answered by Cromlix)