Question

The present age of Khalid and Ron are in the ratio 4:5 six years from now the ratio of their age will be 5/6.find their present ages

Answer 1

Answer:

hey guys

refer an attachment

Answer 2

Answer:

The age of Khalid is 24 years and the age of Ron is 30 years.

Step-by-step explanation:

Given,

Khalid and Ron’s present age will be in the ratio 4 :5.

Therefore,

$\frac { K } { R } = \frac { 4 } { 5 }$

Also given,

After 6 years, their ratio will be  

$\frac { K + 6 } { R + 6 } = \frac { 5 } { 6 }$

From 1, we get

$K = \frac { 4 R } { 5 }$

Substituting this in equation 2, we get

$\begin{array} { c } { \frac { \left( \left( \frac { 4 R } { 5 } \right) + 6 \right) } { R + 6 } = \frac { 5 } { 6 } } \\\\ { \frac { \left( \frac { 4 R + 30 } { 5 } \right) } { R + 6 } = \frac { 5 } { 6 } } \\\\ { \frac { 4 R + 30 } { 5 R + 30 } = \frac { 5 } { 6 } } \end{array}$

$\begin{aligned} 6 ( 4 R + 30 ) & = 5 ( 5 R + 30 ) \\\\ 24 R + 180 & = 25 R + 150 \\\\ 25 R - 24 R & = 180 - 150 \\\\ R & = 30 \end{aligned}$

Substitute the value of R = 30 in equation (1), we get,

$\begin{array} { c } { K = \frac { 4 R } { 5 } } \\\\ { K = \frac { 4 ( 30 ) } { 5 } } \\\\ { K = 24 } \end{array}$

Thus, the age of Khalid is 24 years and the age of Ron is 30 years.