The sum of the age of mira and shaheena is 40 years after 10 years mira will be twice as old as shaheena find their present ages
To find the present ages of Mira and Shaheena, we can set up equations based on the given information.
Let's assume Mira's present age is 'm' years and Shaheena's present age is 's' years.
According to the given information, the sum of their ages is 40 years:
Equation 1: m + s = 40
After 10 years, Mira will be twice as old as Shaheena:
Equation 2: (m + 10) = 2(s + 10)
Now, we have two equations with two unknowns. We can solve this system of equations to find the values of 'm' and 's'.
To solve this system of equations, we can use the substitution method.
From Equation 1, we have:
m = 40 - s
Substituting this value of 'm' into Equation 2, we get:
(40 - s) + 10 = 2(s + 10)
Now we can solve for 's' by simplifying the equation:
40 - s + 10 = 2s + 20
50 - s = 2s + 20
50 - 20 = 2s + s
30 = 3s
s = 10
So, Shaheena's present age is 10 years.
Substituting the value of 's=10' into Equation 1, we get:
m + 10 = 40 - 10
m + 10 = 30
m = 20
Therefore, Mira's present age is 20 years.
Hence, Mira's present age is 20 years, and Shaheena's present age is 10 years.
M = 40 - S
M + 10 = 2(S + 10)
Substitute 40-S for M in the second equation and solve for S. Insert that value into the first equation to solve for M. Check by putting both values into the second equation.