Question

James is two years younger than twice his sister Kate’s Age. Together their ages add up to 19. What is each of their ages?

show work please

Answer 1

Kate is 7 James is 12

K= Kate
James= 2K-2
K + (2K-2) =19
3K -2=19
3K =21
K= 7

J=2*K -2= 14-2=12

Answer 2

For this case we have to:

x: Be the variable that represents James's age

y: Be the variable that represents Kate's age

According to the data we have:

`x + y = 19\\2y-2 = x`

Substituting the second equation into the first:

`2y-2 + y = 193y-2 = 19\\3y = 19 + 2\\3y = 21\\y = \frac {21} {3}\\y = 7`

So, Kate is 7 years old.

`x = 2y-2\\x = 2 * 7-2\\x = 14-2\\x = 12`

James is 12 years old.

Answer:

JAmes is 12 years old

Kate is 7 years old