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?

Dana's age = 13 years

Zach's age = 26 years

Jon's age= 18 years

Ella's age = 36 years

Step-by-step 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

add -60 to 120 which will result in : 2x+3y=180

then subtract 2x: 3y=-2x+180

lastly, divide by 2: y= -2/3x+60

hope this is the answer you're looking for: )