Question

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

Answer 1

Answer:

Percilla's age is 72.

Jack's age is 83.

Step-by-step 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:

$2x=144//\frac{2x}{2}=\frac{144}{2}//x=72$

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

Answer 2

Answer:

Jack=83 years old

Percilla=72 years old

Step-by-step explanation:

2y+11=155

y=72