Question

Henry Is six more than two times as old as Cheryl in 10 years plus some of their age will be 77 how old is Cheryl now

Answer 1

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.

$(x+10)+(2x+16)=77\\x+10+2x+16=77\\3x+26=77\\3x=77-26\\3x=51$

Dividing both sides by 3

$\frac{3x}{3}=\frac{51}{3}\\x=17$

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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