Agirl is 6 years older than her brother than her brother. in 3 years she will be 2 years older than twice what his age will be then. what are their ages now?

1 = brother's age now.

4 = brothers age in 3 years.

7 = girls age now.

10 = girls age in 3 years.

Step-by-step explanation:

You want to get x by itself first.

(x + 6) + 3 = 2(x + 3) + 2

x +9 = 2x + 8

-x + 9 = 8

-x = -1

x = 1

This is her brothers age when she is 6 years older than him.

Now you will take the 1 and put it in the x +3 = brother's age in 3 years.

The brother will be 4 in 3 years.

The girl will be 7 when her brother is born.

Then you will take the 1 and put it into (x + 6) +3 = 10.

The girl will be 10 in 3 years.

1 = brother's age now.

4 = brothers age in 3 years.

7 = girls age now.

10 = girls age in 3 years.

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step-by-step