Question

Vivian is 6 years older than Mira .One-half of Vivan age exceeds one third of Mira age by 4 year .find their age.

Answer 1

Answer:

let Vivans age be x years and Miras age be y years

x=y+6 ....1

1/2x=1/3y +4

y+6/2=1/3y+4

3y+18-2y / 6 =4

y+18 = 24

y=6

x=12

Answer 2

Mira's age is 6 years old and Vivian's age is 12 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, $\frac{1}{2}(x+6)-\frac{1}{3}x=4\\\\\frac{x}{2}-\frac{x}{3}+3=4\\\\\frac{3x-2x}{6}=1\\\\\frac{x}{6}=1\\\\x=6$

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

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