Question

Help me answer the question ​

Answer 1

Explanation:

let x be the mother's age and r be Revathi's age

x-r=24

r=x/3 or 3r=x

Revathi's age is (1/3)*x or x/3

we replace in the first equation x with 3 r

3r-r=24

2r=24

r=12 Revathi's age is 12

His mom is 36

the difference between their age is 36-12=24

Answer 2

`\huge \boxed{\mathbb{QUESTION} \downarrow}`

• Revathi's age is 1/3 of her mother's age. If their difference in age is 24 years, find Revathi's age.

`\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}`

Given,

• Mother's age = x
• Revathi's age = 1/3 x = ?
• Difference in their age = 24 years ⇨ x - 1/3 x = 24.

Now, let's solve this question using the above equation which we just formed.

`\sf \: x - (1)/(3)x = 24 \\`

Combine x and
`\sf\:-(1)/(3)x` to get
`\sf(2)/(3)x`.

`\sf(2)/(3)x=24 \\`

Multiply both sides by
`\sf(3)/(2)`, the reciprocal of
`\sf(2)/(3)`.

`\sf \: x=24* \left((3)/(2)\right)`

Express
`\sf24* \left((3)/(2)\right)` as a single fraction.

`\sf \: x=(24* 3)/(2) \\`

Multiply 24 and 3 to get 72.

`\sf \: x=(72)/(2) \\`

Divide 72 by 2 to get 36.

`\boxed{ \bf \: x=36 }`

We now have the age of Revathi's mother (x) = 36 years. Now, let's find Revathi's age ⇨
`\sf\:((1)/(3)x)`

`\rightarrow \sf \: (1)/(3) x \\ \rightarrow \sf \: (1)/(3) * 36 \\ \rightarrow \sf \: (1)/( \bcancel 3) * \bcancel{36} \\ \rightarrow \sf \:1 * 12 \\ = \boxed{\boxed{\bf \: 12}}`

• So, Revathi is 12 years old.