Question

the ratio of radha And ruchis age is 9:4. if the difference between present age of radha and the age of ruchi 5yrs hence is 5 then what is the sum of the present age of radha and ruchi

Answer 1

let radha age be = 9x
ruchis age be=4x
9x-(4x+5)=5
5x=10
x=2
sum=18+8=26

Answer 2

26 years is the sum of Radha and Ruchi’s age .

Given:

The ratio of Radha and Ruchi’s age $= 9 : 4$

To find:

Sum of present age of Radha and Ruchi

Solution:

Let the age of Radha be $9x$

Let the age of Ruchi be $4x$

Given if the difference between present age of Radha and the age of Ruchi 5yrs hence is 5

Hence, $9x -(4x +5) = 5$

$5x - 5= 5$

$5x = 10$

$x = 2$

Present age of Radha $= 9\times 2 = 18$

Present age of Ruchi $= 4\times 2 = 8$

The sum of Radha and Ruchi’s age $= 18 + 8 =26.$

Therefore, sum of Radha and Ruchi’s age is $\bold{26 years.}$