Question

the age of mintu and chintu are in the ratio 7:6. four years later the sum of Their ages will be 56 years . what are their present ages?​

Answer 1

Given :

• Age of Mintu and Chintu are in the ratio 7:6 .
• After 4 years the sum of their ages will be 56 .

To Find :

• Present Ages of Mintu and Chintu .

Solution :

$\longmapsto\tt{Let\:Present\:Age\:of\:Mintu=7x}$

$\longmapsto\tt{Let\:Present\:Age\:of\:Chintu=6x}$

After 4 years :

$\longmapsto\tt{Age\:of\:Mintu=7x+4}$

$\longmapsto\tt{Age\:of\:Chintu=6x+4}$

A.T.Q :

$\longmapsto\tt{7x+4+6x+4=56}$

$\longmapsto\tt{13x+8=56}$

$\longmapsto\tt{13x=56-8}$

$\longmapsto\tt{13x=48}$

$\longmapsto\tt\bf{x=\dfrac{48}{13}}$

Value of x is 48/13 ...

Therefore :

$\longmapsto\tt{Present\:Age\:of\:Chintu=7\times\dfrac{48}{13}}$

$\longmapsto\tt\bf{\dfrac{336}{13}\:yrs.}$

$\longmapsto\tt{Present\:Age\:of\:Chintu=6\times\dfrac{48}{13}}$

$\longmapsto\tt\bf{\dfrac{288}{13}\:yrs.}$