Question

Please help urgent easy question,just no 8

Answer 1

Ruby is 11. Tanya is 14.

Explanation:

Let Ruby's age eight years ago be x.

Tanya's age eight years ago = 2x.

Ruby's age now = x + 8

Tanya's age now = 2x + 8

Total age =
`x+8+2x+8=25`

`3x+16=25`

Subtract 16 from both sides:

`3x+16-16=25-16`

`3x=9`

Divide both sides by 3:

`(3x)/(3) =(9)/(3)`

`x=3`

Ruby's age now
`=x+8=3+8=11`

Tanya's age now
`=2x+8=2(3)+8=6+8=14`

Answer 2

Tanya is 14; Ruby is 11.

Explanation:

Let T represent Tanya's current age and let R represent Ruby's current age.

We know that their ages add up to 25. So:

`T+R=25`

8 years ago, Tanya was twice as old as Ruby. In other words, Tanya's current age minus 8 is the same as Ruby's current age minus 8 times 2. So:

`T-8=2(R-8)`

We have a system of equations. We can solve by substitution. From the first equation, subtract R from both sides:

`T=25-R`

Substitute this into the second equation:

`(25-R)-8=2(R-8)`

On the left, subtract. On the right, distribute:

`17-R=2R-16`

Add 16 to both sides. The right side cancels:

`33-R=2R`

Add R to both sides. The left cancels:

`33=3R`

Divide both sides by 3:

`R=11`

So, Ruby is currently 11 years old.

So, Tanya is currently 25-11 or 14 years old.

Check:

8 years ago, Ruby was 11-8 or 3 years old.

8 years ago, Tanya is 14-8 or 6 years old.

Tanya's age of 6 is 2 times Ruby's age of 3 so our answer is correct.