Question

Jack was 11 years older than Percilla together their age is totaled 155 years what were their ages

Answer 1

Percilla's age is 72.

Jack's age is 83.

Explanation:

Let x: age of Percilla. The age of Jack in terms of Percilla's age is
`x+11`. Then the sum of Jack's and Percilla's ages can be expressed as:

`x+x+11=155`

We can apply inverse operations, so we take 11 on both sides and the equation remains unaltered. Remember that
`x+x=2x`:

`2x+11=155//2x+11-11=155-11//2x=144`

Now, we divide by 2 on both sides:

`2x=144//(2x)/(2)=(144)/(2)//x=72`

Therefore Percilla's age is 72 and Jack's age is 72+11=83.

Answer 2

Jack=83 years old

Percilla=72 years old

Explanation:

2y+11=155

y=72