in 9 years emma will be 7years older then her brother currently emma is 3 times her brothers age how old is emma

1. Let E be Emma's current age and B be her brother's current age.

2. From the problem, we have the equations:

E + 9 = B + 9 + 7

E = 3B

3. Simplifying the first equation:

E + 9 = B + 16

4. Substitute E = 3B into the first equation:

3B + 9 = B + 16

5. Solve for B :

3B + 9 = B + 16

2B = 7

B = \frac{7}{2}

B = 3.5

6. Substitute B = 3.5 into E = 3B :

E = 3 \times 3.5

E = 10.5

So, the current age of Emma is 10.5 .