Question

The age of Anu and Anju are in ratio 5:7.Four year later their age's will be in ratio 3:4. find their present age​

Answer 1

Answer:

20,28

Step-by-step explanation:

let anu's age be 5x

nju' age will be 7x

after four years i.e.

5x+4/7x+4=3x/4x

20x^2+16x=21x^2+12x

x^2-4x=0

x(x-4) =0

x=4

anu will be 5x =20

anju will be 7x =28

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Answer 2

Given :

• Age of Anu and Anju are in ratio 5:7.
• Four years later their age will be in ratio 3:4.

To Find :

• Present Age of Anu and Anju.

Solution :

$\longmapsto\tt{Let\:age\:of\:Anu\:be=5x}$

$\longmapsto\tt{Let\:age\:of\:Anju\:be=7x}$

After 4 years :

$\longmapsto\tt{Age\:of\:Anu=5x+4}$

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

A.T.Q :

$\longmapsto\tt{\dfrac{5x+4}{7x+4}=\dfrac{3}{4}}$

$\longmapsto\tt{4(5x+4)=3(7x+4)}$

$\longmapsto\tt{20x+16=21x+12}$

$\longmapsto\tt{20x-21x=12-16}$

$\longmapsto\tt{-1x=-4}$

$\longmapsto\tt\bold{x=4}$

Value of x is 4...

Therefore :

$\longmapsto\tt{Present\:Age\:of\:Anu=5(4)}$

$\longmapsto\tt\bold{20\:yrs.}$

$\longmapsto\tt{Present\:Age\:of\:Anju=7(4)}$

$\longmapsto\tt\bold{28\:yrs.}$