Question

पिता और पुत्र की वर्तमान आयु का योग 68 वर्ष है । 8 वर्ष
पूर्व उनकी आयु का अनुपात 12 : 1 था। 4 वर्ष बाद उनकी
आयु का अनुपात होगा
(1) 15:4
(2) 14:3
(3) 16:5 (4) 13 : 2​

Answer 1

Answer:

(1) 15:4 is the answer for this this

Answer 2

The ratio of their age after 4 years is 15:4

(1) is correct option.

Step-by-step explanation:

Let the present age of father is x years and that of son is y years.

Then, we have the equation

x + y = 68 ......(i)

Now, before 8 years

Age of father = (x - 8)

Age of son = (y - 8)

Thus, the equation is

$\frac{x-8}{y-8}=\frac{12}{1}\\\\x-8=1y-96\\\\x=12y-88$

Substituting this value of x in (i)

$12y-88+y=68\\\\13y=156\\\\y=12$

From equation (i)

x + 12 = 68

x = 68 - 12

x = 56

After 4 years,

Age of father = 56 + 4 = 60 years

Age of son = 12 + 4 = 16 years

Therefore, the ratio of age after 4 years is

$\frac{60}{16}\\\\=\frac{15}{4}$

Hence, the ratio of their age after 4 years is 15:4

#Learn More:

Ram and Mohan are brothers.rams present age is three years more than twice the present age of Mohan .if the sum of their present age is 27. find their ages

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