My sister is 8 years older than I am. The sum of our ages is 26. Find our ages
Suppose that the my age =x years. and the age of my sister=x+8 years. A/q x+x+8=26 or,2x=18 or, x=9. So my age 9 years . Age of my sister=9+8=17 years
19
Let's solve this step-by-step:
Step 1: Assign variables
Let's assume your age to be x years. Since your sister is 8 years older, her age will be x + 8 years.
Step 2: Write an equation
The sum of both your ages is 26. So we can write the equation as:
x + (x + 8) = 26
Step 3: Solve the equation
By combining like terms, we get:
2x + 8 = 26
Subtract 8 from both sides:
2x = 26 - 8
2x = 18
Divide both sides by 2:
x = 18/2
x = 9
Step 4: Find your sister's age
Substitute the value of x back into the equation:
x + 8 = 9 + 8 = 17
So, your age is 9 years, and your sister's age is 17 years.
To find your ages, let's start by assigning variables to represent your ages. Let x be your age and y be your sister's age.
We know that your sister is 8 years older than you, so we can write an equation for that:
y = x + 8
We also know that the sum of your ages is 26, so we can write another equation:
x + y = 26
Now we have a system of two equations:
y = x + 8
x + y = 26
To solve this system, we can use substitution or elimination method. Let's use substitution:
First, replace y in the second equation with x + 8:
x + (x + 8) = 26
Simplifying the equation:
2x + 8 = 26
Subtract 8 from both sides:
2x = 18
Divide both sides by 2:
x = 9
Now, substitute x = 9 back into one of the equations to find y:
y = 9 + 8
y = 17
So, your age is 9 and your sister's age is 17.