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.