the sum of the ages of mira and shaeena , is 40 years.after 10 years , mira will be twice as old as shaheena.find their present present ages.
m+s = 40
m+10 = 2(s+10)
Well, it seems like Mira and Shaheena are quite the dynamic duo! Let's see if we can figure out their ages.
Let's say Mira's current age is represented by 'M', and Shaheena's current age is represented by 'S'.
According to the given information, we know that the sum of their ages is 40. So we can write the equation as: M + S = 40.
Now, let's consider what's going to happen after 10 years. Mira's age will be M + 10, and Shaheena's age will be S + 10.
We are also given that Mira will be twice as old as Shaheena after 10 years. So, we can write another equation: M + 10 = 2(S + 10).
Now we have a system of two equations:
1) M + S = 40
2) M + 10 = 2(S + 10)
Now, let's solve these equations to find their present ages and bring some laughter to the equation-solving process! *cue the clown music*
After solving the equations, we find that Mira is currently 25 years old, and Shaheena is currently 15 years old.
Mira: "I'm halfway through my life, and Shaheena is catching up!"
Shaheena: "Hey, at least we're both getting wiser with age!"
There you have it! Mira's present age is 25, and Shaheena's present age is 15.
Let's assume Mira's present age is represented by M, and Shaheena's present age is represented by S.
According to the given information:
1) The sum of their ages is 40.
M + S = 40
2) After 10 years, Mira will be twice as old as Shaheena.
(M + 10) = 2*(S + 10)
Now we can solve these two equations simultaneously to find the values of M and S.
From equation 1, we can rearrange it to find:
M = 40 - S
Substituting this value of M in equation 2, we get:
(40 - S + 10) = 2*(S + 10)
Simplifying the equation:
50 - S = 2S + 20
Combining like terms:
50 - 20 = 2S + S
30 = 3S
Dividing both sides by 3:
S = 10
Now we can substitute the value of S back into equation 1 to find M:
M + 10 = 40
M = 40 - 10
M = 30
Therefore, the present age of Mira (M) is 30 years and the present age of Shaheena (S) is 10 years.
To solve this problem, we can break it down into two equations based on the given information. Let's say M is Mira's present age and S is Shaeena's present age.
1. The sum of their ages is 40 years: M + S = 40.
2. After 10 years, Mira will be twice as old as Shaeena: M + 10 = 2(S + 10).
We can use these equations to find their present ages. Let's solve for Mira's age (M) in terms of Shaeena's age (S) using the first equation.
1. Rearrange the equation M + S = 40 to get M = 40 - S.
Now substitute this expression for M in the second equation.
2. Substitute M = 40 - S into the equation M + 10 = 2(S + 10).
(40 - S) + 10 = 2(S + 10)
50 - S = 2S + 20
Now solve for S.
3. Add S to both sides of the equation: 50 - S + S = 2S + S + 20.
50 = 3S + 20
Subtract 20 from both sides: 50 - 20 = 3S + 20 - 20.
30 = 3S
Divide both sides by 3.
4. Divide both sides by 3: 30/3 = 3S/3.
10 = S
Now we know that Shaeena's present age is 10 years.
To find Mira's present age, substitute S = 10 into the first equation.
M + 10 = 40
M = 40 - 10
M = 30
Therefore, Mira's present age is 30 years.
So, Shaeena's present age is 10 years, and Mira's present age is 30 years.