Question

Jon is 5 years older than Dana. Ella is twice as old as Jon and Zach is twice as old as Dana. The sum of their ages is 93. How old is Jon?

Answer 1

Dana's age = 13 years

Zach's age = 26 years

Jon's age= 18 years

Ella's age = 36 years

Explanation:

Let

Dana's age = x

Zach's age = 2x

Jon's age= x + 5

Ella's age = 2(x + 5)

Sum of their age = 93

x + 2x + (x + 5) + 2(x + 5) = 93

x + 2x + x + 5 + 2x + 10 = 93

6x + 15 = 93

Subtract 15 from both sides

6x + 15 - 15 = 93 - 15

6x = 78

Divide both sides by 6

x = 78/6

= 13

Therefore,

Dana's age = x = 13 years

Zach's age = 2x

= 2(13)

= 26 years

Jon's age= x + 5

= 13 + 5

= 18 years

Ella's age = 2(x + 5)

= 2(13+5)

= 26+10

= 36 years

Dana's age = 13 years

Zach's age = 26 years

Jon's age= 18 years

Ella's age = 36 years

Sum of their age = 13 + 26 + 18 + 36

= 93 years