Question

the present ages of Aman and Naman are in the rati4:5.eight years hence the ratio oftheir ages wii be 5:6
Find their present ages ?

Answer 1

Let the age of Aman be 4x and Naman be 5x

Eight years from now, Aman's age will be 5x and Naman's age will be 6x


A/q,


4x + 8 + 5x + 8 = 5x + 6x

9x + 16 = 11x

16 = 11x - 9x

2x = 16

x = $\dfrac{16}{2}$

x = 8 years



Present age of Aman => 4x => 4 × 8 => 32 years

Present age of Naman => 5x => 5 × 8 => 40 years

Answer 2

Let the age of Aman be 4y and Naman be 5y.

Then,

After eight years from now, Aman's age will be 5y and Naman's age will be 6y.


Now ,

According to the Question


4y + 8 + 5y + 8 = 5y + 6y

9y + 16 = 11y

16 = 11y- 9y

2y= 16

y=

y= 8 years


Age of Aman =>
4y = 4 × 8
= 32 years

Age of Naman =>
5y= 5 × 8
=40 years

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