Cheryl is 17 years old now.
Step-by-step explanation:
Let,
Age of Cheryl = x
Age of Henry = 2x+6
In 10 years;
Cheryl's age = x+10
Henry's age = 2x+6+10 = 2x+16
The sum of ages is 77.
[tex](x+10)+(2x+16)=77\\x+10+2x+16=77\\3x+26=77\\3x=77-26\\3x=51[/tex]
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{51}{3}\\x=17[/tex]
Age of Cheryl = 17 years
Age of Henry = 2x+6 = 2(17)+6 = 34+6 = 40 years
Cheryl is 17 years old now.
Keywords: variable, word problem
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