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??
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.
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!!
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?
Let's assume the current age of the son is "x".
According to the given information, the mother's age is 4 times the son's age, so the mother's current age would be 4x.
Similarly, the mother's age is 5 times the daughter's age, so the daughter's current age would be (4x/5).
Now, let's move forward to the second part of the question. It states that when the son is three times as old as he is now, his age would be 3x.
At that time, the mother's age would be 3 years more than twice the daughter's age. So, the mother's age would be (2 * daughter's age) + 3.
We can set up the equation as follows: 3x = (2 * (4x/5)) + 3.
Now, let's solve the equation to find the value of x (son's current age).
3x = (2 * (4x/5)) + 3
Multiplying both sides of the equation by 5 to eliminate the fraction:
15x = 8x + 15
Subtracting 8x from both sides of the equation:
7x = 15
Dividing both sides of the equation by 7:
x = 15/7
x = 2.14 (approx.)
This means that the son's current age is around 2.14.
To find the mother's current age, we can multiply the son's age by 4:
Mother's current age = 4 * 2.14 = 8.57 (approx.)
To find the daughter's current age, we can multiply the son's age by (4/5):
Daughter's current age = (4/5) * 2.14 = 1.71 (approx.)
Therefore, the current ages are approximately:
Son: 2.14 years
Mother: 8.57 years
Daughter: 1.71 years