Respuesta :

Answer:

Jack=83 years old

Percilla=72 years old

Step-by-step explanation:

2y+11=155

y=72

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 [tex]x+11[/tex]. Then the sum of Jack's and Percilla's ages can be expressed as:

[tex]x+x+11=155[/tex]

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

[tex]2x+11=155//2x+11-11=155-11//2x=144[/tex]

Now, we divide by 2 on both sides:

[tex]2x=144//\frac{2x}{2}=\frac{144}{2}//x=72[/tex]

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

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