SOLUTION: Simplify 4a-2b+2a-3b. The average age of a mother and are 3 children is 10years. If the ages of the children are 1,4 and 7years. Find the age of their mother.

Question 177237: Simplify 4a-2b+2a-3b. The average age of a mother and are 3 children is 10years. If the ages of the children are 1,4 and 7years. Find the age of their mother.
Answer by gonzo(654) (Show Source): You can put this solution on YOUR website!
to get the average, you take the sum of the ages and divide by the number of ages:
let x = the age of the mother:
(1 + 4 + 7 + x)/ 4 = 10
(x + 12)/4 = 10
multiply both sides of the equation by 4 to get:
x + 12 = 40
subtract 12 from both sides of the equation to get:
x + 12 - 12 = 40 - 12
simplify to get:
x = 28
mother should be 28 years old.
1 + 4 + 7 + 28 = 40 / 4 = 10
looks good.
mother is 28 years old.
to simplify 4a - 2b + 2a - 3b do the following:
combine like terms:
4a + 2a = 6a
-2b - 3b = -5b
simplified term is:
6a - 5b

RELATED QUESTIONS
The average age of a father and his five children is 21. If the ages of the children are... (answered by Theo)

Thelma is a fifty one year old mother of three children. The difference in ages between... (answered by pakhi)

A family consist of a mother, a father, and some children. The average age of the family... (answered by ankor@dixie-net.com)

Here is the problem: (4a^2b^3)^-2 (2ab^-1)^3/(a^3b)^-4 The steps I use are:... (answered by josgarithmetic)

1. The sum of the ages of a mother and a daughter is 50yrs. Five years ago, the mother�s (answered by algebrahouse.com)

Simplify the following polynomial, then state the degree: 4a^3b - 2a^2b^3 + 8ab^3 +... (answered by MathLover1)

A 41-year old mother has 5 children. Her youngest children are twins. If the ages of her... (answered by FrankM)

The average of 4 children is 10.the ages of 3 are 10,12,8.What is the age of the 4th... (answered by stanbon)

the combined age of a man and his wife is 8xtimes the combined age of their children.2... (answered by JBarnum)