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.