SOLUTION: The ages of a brother and the younger sisters sum to 44 years. In five years the brother will be twice as old as his sister. Find the age of the brother and sister.

Question 1057373: The ages of a brother and the younger sisters sum to 44 years. In five years the brother will be twice as old as his sister. Find the age of the brother and sister.
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.
The ages of a brother and the younger sisters sum to 44 years. In five years the brother will be twice as old as his sister.
Find the age of the brother and sister.
~~~~~~~~~~~~~~~~~~~~~~

Let B be the brother's present age. 
Then the sister's present age is 44-B.

In 5 years the brother will be (B+5) years old. 
while sister will be 44-B + 5.

We are given that

B+5 = 2(44-B+5).

Simplify and solve for B:

B + 5 = 88 - 2B + 10,

B + 2B = 88+10-5,

3B = 93,

B =  = 31.

Answer. The brother's present age is 31 year. The sister is 44-31 = 13 years old.

There is a bunch of lessons on age word problems
    - Age problems and their solutions
    - A fresh formulation of a traditional age problem
    - Really intricate age word problem
    - Selected age word problems from the archive
in this site.

Read them and become an expert in solving age problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Age word problems".

RELATED QUESTIONS
A boy is twice as old as his younger brother, and half as old as his older brother. In 22 (answered by josmiceli)

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

the sum of ages of two brothers is 24 in three years time, the elder brother will be... (answered by stanbon)

Danny is five years younger than his brother Cesar. In eight years, the sum of their ages (answered by josgarithmetic)

The difference in ages between a boy and his younger brother is 6years.the younger... (answered by ankor@dixie-net.com,MathTherapy,josgarithmetic)

a boy is 10 years older than his brother. in four years, he will be twice as old as his... (answered by TimothyLamb)

A boy is 10 years older than his brother. In 4 years he will be twice as old as his... (answered by stanbon)

A boy is 10 years older than his brother. In 4 years he will be twice as old as his... (answered by josgarithmetic)