Krisha is 9 years older than her youngest brother.the sum of their ages is 25.what are their ages?
K = Krisha’s ages
B = Brother’s ages
Krisha is 9 years older than her youngest brother mean:
K = B + 9
The sum of their ages is 25 mean:
K + B = 25
Replace K with B + 9 in this equation.
B + 9 + B = 25
2 B + 9 = 25
Subtract 9 to both sides
2 B = 16
Divide both sides by 2
B = 8
K = B + 9 = 8 + 9 = 17
Krisha is 17 yrs old
Brother is 8 yrs old
Let's solve the problem step-by-step:
Step 1: Assign variables
Let's assign variables to represent Krisha's age and her youngest brother's age.
Let K represent Krisha's age and B represent her youngest brother's age.
Step 2: Write the given information as equations
Now, let's use the given information to create equations.
According to the problem, "Krisha is 9 years older than her youngest brother." This can be written as:
K = B + 9 ...(Equation 1)
The problem also states, "The sum of their ages is 25." This can be written as:
K + B = 25 ...(Equation 2)
Step 3: Solve the equations
Now, we have a system of equations:
Equation 1: K = B + 9
Equation 2: K + B = 25
We can solve this system of equations by substituting Equation 1 into Equation 2 to eliminate K.
Substituting K = B + 9 into Equation 2:
(B + 9) + B = 25
2B + 9 = 25
Subtracting 9 from both sides:
2B = 16
Dividing both sides by 2:
B = 8
Step 4: Find Krisha's age
Now that we have found the value of B (Brother's age), we can substitute it back into Equation 1 to find K (Krisha's age).
K = B + 9
K = 8 + 9
K = 17
Step 5: Answer
Krisha's age is 17, and her youngest brother's age is 8.
To solve this problem, let's assume the youngest brother's age as X.
According to the information given, Krisha is 9 years older than her youngest brother. So, Krisha's age would be X + 9.
The sum of their ages is 25, so we can write the equation:
X + (X + 9) = 25
Now, let's solve the equation:
2X + 9 = 25
2X = 25 - 9
2X = 16
X = 16/2
X = 8
Therefore, the youngest brother's age is 8, and Krisha's age is 8 + 9 = 17.