Question

the present age of Amit and Rahul are in the ratio 15:8.
after 10 years their age will be in the ratio 5:3
Find their present ages


plz answer fast..

Answer 1

Let their present ages be 15x and 8x .
After 10 years :
Amit's age = 15x + 10
Rahul's age = 8x + 10
So, ATQ
15x + 10 / 8x +10 = 5/3
45x + 30 = 40x + 50
x = 4
their present ages = 60 yrs and 32 yrs

Answer 2

Answer:

Present  age of Amit = 75 years  and Present age of Rahul = 40 years

Step-by-step explanation:

Given:

Ratio of Amit's and Rahul's present age =  15 : 8    ⇒ A

Ratio of Amit's and Rahul's age after 10 years =  5 : 3  ⇒  B

To find:

Present ages of Amit and Rahul

Solution:

Step 1:

From A,

Present age of Amit and Rahul is $15x$ and $8x$.

From B,

After 10 years, ages of Amit and Rahul be $15x+10$  and $8x+10$

Step 2:

$(15x+10) : (8x+10) = 5:3\\\\\frac{15x+10}{8x+10} = \frac{5}{3} \\\\3(15x+10)=5(8x+10)\\45x+30 =40x+50\\45x-40x = 50-30\\5x=20\\x=\frac{20}{4}\\ x=5$

Step 3:

Substitute value of '$x$' in A,
Present age of Amit is $15x$

    $=15*5\\=75$

Present age of Rahul is $8x$

$=8*5\\=40$

Hence present ages of Amit is $75 years$

and  present ages of Rahul is $40 years$

Project code:#SPJ3