Explanation:

Let's break down the statements in the problem:

- Let the present age of the mother be M and the son be S.

- 4 years ago: Mother's age = M-4, Son's age = S-4

Given: M - 4 = 6(S - 4)

- 6 years from now: Mother's age = M+6, Son's age = S+6

Given: M + 6 = (8/3)(S + 6)

Let's solve the equations:

1. M - 4 = 6S - 24 ? M = 6S - 20

2. M + 6 = (8/3)S + 16

So, M = (8/3)S + 10

Set both expressions for M equal:

6S - 20 = (8/3)S + 10

6S - (8/3)S = 30

(18S - 8S)/3 = 30

10S = 90

S = 9

Plug into M:

M = 6S - 20 = 6(9) - 20 = 54 - 20 = 34

Mother's age after 2 years: 34 + 2 = 36

Present age of son: 9

Difference: 36 - 9 = 27

Now, check the options:

None of the options match 27!

But if they mean ordered pairs "mother's age after 2 years : son's present age":

36 : 9 simplifies to 4 : 1

So, the correct answer is Option 3 - 4 : 1

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- If you substitute and solve, ages are: Mother 34, Son 9.

- After 2 years, mother will be 36; son is 9 now.

- Their ratio is 36:9, which reduces to 4:1.

- Option 3 matches this result: 4 : 1.

- Other options do not fit the values derived from the equations.