Question

Shobos mother present age is six times shobos present age. Shobos age five from now will be one third of his mother's present age. What are their present ages ?

Answer 1

Explanation:

From the problem statement, we can setup the following equations:

`M = 6S`

`S + 5 = (1)/(3)M`

where
`S` is the current age of Shobos and
`M` is the current age of his mother.

Substituting the first equation into the second will allow us to solve for
`S`:

`S + 5 = (1)/(3)M`

`S + 5 = (1)/(3)(6S)`

`S + 5 = 2S`

`S = 5`

Substituting this value into the first equation gives us the age of the mother:

`M = 6S`

`M = 6(5)`

`M = 30`

Answer 2

Present age of Shobo is 5 years and present age of Shobo's mother is 30 years.

Step-by-step explanation:

Given :-

• Shobo's mother's present age is 6 times of Shobo's present age.
• Shobo's age 5 from now will be 1/3 of his mother's present age.

To find :-

• Their present ages.

Solution :-

Consider,

• Shobo's present age = x years

★ Shobo's mother's present age is 6 times of Shobo's present age.

• Shobo's Mother's Present age = 6x years

Shobo's age 5 from now,

= (x+5) years

According to the question ,

`\to\sf{x+5=(1)/(3)*\:6x}`

→ x + 5 = 2x

→ x-2x = -5

→ -x = -5

→ x = 5

★ Shobo's present age = 5 years

★ Shobo's mother's present age = 6×5 = 30 years.