Question

Vivan is 6 years older than Mira. One half
of Vivan's age exceeds one-third of Mira's
age by 4 years. Find their ages.​

Answer 1

Step-by-step explanation:

years old

Step-by-step explanation:

Let The Mira'a age be x

we are given that Vivian is 6 years older than Mira .

So, Vivian's age = x+6

Now we are given that .One-half of Vivan age exceeds one third of Mira age by 4 year

So, \begin{lgathered}\frac{1}{2}(x+6)-\frac{1}{3}x=4\\\\\frac{x}{2}-\frac{x}{3}+3=4\\\\\frac{3x-2x}{6}=1\\\\\frac{x}{6}=1\\\\x=6\end{lgathered}

2

1

(x+6)−

3

1

x=4

2

x

−

3

x

+3=4

6

3x−2x

=1

6

x

=1

x=6

So, Mira's age = 6 years

Vivian's age = x+6=6+6=12 years

Hence Mira's age is 6 years old and Vivian's age is 12 years old