Question

The ratio of ages of M and N is 14 : 5. The product of their ages is 304. What will be the ratio of their ages after 4 years?

Answer 1

Answer:

19ঃ7

Step-by-step explanation:

14x+5x=304

x=16

M=224;N=80

after 4 year their age ratio will be

224+4ঃ80+4=228ঃ84=19ঃ7

Answer 2

Answer:

$M : N=14\sqrt{\frac{152}{35}}+4 : 5\sqrt{\frac{152}{35}}+4$

Step-by-step explanation:

Given : The ratio of ages of M and N is 14 : 5. The product of their ages is 304.

To find : What will be the ratio of their ages after 4 years?

Solution :

The ratio of ages of M and N is 14 : 5

Let x be the common multiple.

So, M=14x and N=5x

According to question,

The product of their ages is 304.

$14x\times 5x=304$

$70x^2=304$

$x^2=\frac{304}{70}$

$x=\sqrt{\frac{152}{35}}$

Then, $M=14x=14\sqrt{\frac{152}{35}}$

$N=5x=5\sqrt{\frac{152}{35}}$

After 4 years, the age of M be

$M=14\sqrt{\frac{152}{35}}+4$

The age of N be

$N=5\sqrt{\frac{152}{35}}+4$

The required ratio be

$M : N=14\sqrt{\frac{152}{35}}+4 : 5\sqrt{\frac{152}{35}}+4$