Posted by **TUHITUHI** on Monday, October 1, 2012 at 10:46am.

A mother is 4 times as old as her son and 5 times as old as her daughter .When the son is three times as old as he is now, the mother's age will be 3 year's more than twice the daughter's age then what are there current ages??

- math -
**Steve**, Monday, October 1, 2012 at 11:05am
here's another answer. These story problems are all basically the same: translate words to symbols and solve the equation(s).

m = 4s

m = 5d

now, we need to figure out how many years from now the son will be 3 times his present age:

3s - s = 2s = m/2

so, adding that many years to mother and daughter, we have

m + m/2 = 2(d+m/2)+3

so, we now have two equations

m = 5d

3/2 m = 2d + m + 3

3/2 (5d) = 2d + 5d + 3

15/2 d = 2d + 5d + 3

d/2 = 3

d = 6

d=6

m=30

s=7.5

in 15 years we will have

s = 22.5

d = 21

m = 45 = 2*21 + 3

Now try some of your other problems, and show us where you get stuck, if you do.

- math -
**Reiny**, Monday, October 1, 2012 at 11:15am
present: let .......

mother ---20 x

son ------ 5x

daughter --4x

What is 3 times son's age ---> 15x

When is son 3 times as old as he is now?

in 15x - 5x years or in 10x years

at that time

son ----- 15x

mother --- 20x + 10x = 30x

daughter -- 4x + 10x = 14x

mother's age = 2 times daughter's age plus 3

30x = 2(14x) + 3

2x = 3

x = 1.5

**present ages:
**

mother -- 30

son ----- 7.5

daughter -- 6

check:

3 times son's present age is 22.5, this will happen in 15 years

at that time ...

mother is 45

son is 15

daughter is 21

is 45 = 2(21) + 3 ??? , YES!!

- math -
**Anonymous**, Wednesday, March 2, 2016 at 6:40pm
musa can cut his grass in 7hrs and his brother can also do the same in 3hrs .if both of them do the work the same time,how long will it take them to do the same work?

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