Susan is 5 years older than her sister jennifer the sum of their ages is 51 write and equation and find the ages of both sisters

Let x = Jennifer's age.

x + x + 5 = 51

2x = 46

x = 23

susan =23,jennifer=28

Let's define:

Jennifer's age = x
Susan's age = x + 5

According to the given information, the sum of their ages is 51. So, we can write the equation:

x + (x + 5) = 51

Simplifying the equation:
2x + 5 = 51

To isolate x, we subtract 5 from both sides:
2x = 46

Then, divide both sides by 2:
x = 23

So, Jennifer is 23 years old. To find Susan's age, we substitute this value into the equation:
Susan's age = 23 + 5 = 28

Therefore, Jennifer is 23 years old and Susan is 28 years old.

To find the ages of both sisters, let's start by assigning variables to their ages.

Let's say Jennifer's age is 'x' years. Since Susan is 5 years older, her age would be 'x + 5' years.

The sum of their ages is given as 51, so we can write the equation:

x + (x + 5) = 51

Now, let's simplify the equation and solve for 'x':

2x + 5 = 51

Subtracting 5 from both sides:

2x = 46

Dividing both sides by 2:

x = 23

So, Jennifer is 23 years old.

To find Susan's age, we substitute x back into the equation:

Susan's age = x + 5 = 23 + 5 = 28

Therefore, Susan is 28 years old.