Jack is 5 years older than Sarah. In 3 years, jack will be twice as old as sarah. How old are they now

Question

Jack is 5 years older than Sarah. In 3 years, jack will be twice as old as sarah. How old are they now? what variable equation would u use to answer this?

Answer 1

Jack is now 10 and Sara is now 5.
Hint: Let Sarah age= X and Jacks age= X+5.

Then 3 years later Sara's New age=X+3
and Jacks new age= (X+5)+3 =X+8.

If Jack I now twice Sara's age, then

2 (X+3)=X+8....
Solve for X...

2X+6=X+8

X+6=8

X=2

NOW PLUG 2 IN FOR EACH X.


SARA'S NEW AGE...X+3=2+3= 5
JACK'S NEW AGE...X+8= 2+8=10

 

Sara Age Now X=  2

Jacks Age Now X+5 is 2+5=   7

Answer 2

Sarah's age is x

 

Jacks age is x + 5

 

In 3 years time Sarah will be x + 3, and Jack will be x + 5 + 3

 

 2(x + 3) = x + 8

 

2x + 6 = x + 8 

 

therefore x = 2

 

Sarah is 2 and Jack is 7