serenity is 13 years old than chase. the sum of their ages is 27. how old are they?

let

x - chase
x + 13 - serenity

equation:
x + x + 13 = 27

Solution:
x + x + 13 = 27
2x + 13 = 27
2x = 27 - 13
2x = 14
x=7

Therefore, chase is 7 years old and serenity is 20 years old.

let the unit digit be x

let the tens digit be 4x

original number: 10(4x) + x = 41x
number reversed: 10x + 4x = 14x

41x + 14x = 110
55x = 110
x = 2

the original number is 84

try switching my definition and see what you get

To find the ages of Serenity and Chase, let's break down the problem into smaller steps:

1. Set up variables: Let's assign a variable to represent Chase's age. Since Serenity is 13 years older, we can define Serenity's age as (Chase's age + 13).
Let Chase's age be C.
Serenity's age = C + 13.

2. Create an equation: The sum of their ages is given as 27.
C + (C + 13) = 27.

3. Solve the equation: Combine like terms and solve for C.
2C + 13 = 27
2C = 27 - 13
2C = 14
C = 14 / 2
C = 7

Now that we have found Chase's age (C = 7), we can find Serenity's age:
Serenity's age = C + 13
= 7 + 13
= 20

Hence, Chase is 7 years old, and Serenity is 20 years old.