Question

The present ages of Rohit and Mayank are in the ratio 11 : 8. 8 years later the sum of their ages will be 54 years. What are their present ages?
pls answer fast and explain please

Answer 1

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Answer 2

Given :

The present ages of Rohit and Mayank are in the ratio 11 : 8 .

8 years later the sum of their ages will be 54 years.

To Find :

Present Age of Rohit and Mayank .

Solution :

$\longmapsto\tt{Let\:Present\:age\:of\:Rohit\:be=11x}$

$\longmapsto\tt{Let\:Present\:age\:of\:Mayank\:be=8x}$

After 8 years :

$\longmapsto\tt{Age\:of\:Rohit=11x+8}$

$\longmapsto\tt{Age\:of\:Rohit=8x+8}$

A.T.Q :

$\longmapsto\tt{11x+8+8x+8=54}$

$\longmapsto\tt{19x+16=54}$

$\longmapsto\tt{19x=54-16}$

$\longmapsto\tt{19x=38}$

$\longmapsto\tt{x=\cancel\dfrac{38}{19}}$

$\longmapsto\tt\bf{x=2}$

Value of x is 2 .

Therefore :

$\longmapsto\tt{Present\:Age\:of\:Rohit=11(2)}$

$\longmapsto\tt\bf{22\:yrs}$

$\longmapsto\tt{Present\:Age\:of\:Mayank=8(2)}$

$\longmapsto\tt\bf{16\:yrs}$