Question

the age of raju and hari are in the ratio of 5:7 . four years from now, the ratio of their ages will be 3:4. find their present age​

Answer 1

Answer:

THERE FORE AGE OF RAJU AND HARI ARE 28 AND 34

Step-by-step explanation:

LET THE AGE OF RAJU AND HARI BE 5x and 7x.

AFTER 4 YEARS THERE AGES ARE 5x+4 and 7x+4.

four years from now,the ratio of their ages will be 3:4. find their present age​

four years from now,let the their ages will be 3y and 4y

that implies

5x+4=3y

5x-3y=-4_____(1)

7x-4y=-4________(2)

BY SOLVING THEM,

x=28 and y=34

THERE FORE AGE OF RAJU AND HARI ARE 28 AND 34

Answer 2

$\huge\underline\mathtt{Your\:Question}$

The age of Raju and Hari are in ratio of 5:7. Four years from now, the ratio of their ages will be 3:4. Find their present age.

$\huge\underline\mathtt{Your\:Answer}$

$\large\sf\underline{Given\::}$

• $\textsf{Ratio\:of\:Raju's\:and\:Hari's\:age\:is\:5:7}$
• $\textsf{Four\:years\:from\:now\:their\:ages\:will\:be\:3:4}$

$\large\sf\underline{To\:Find\::}$

• $\textsf{Their\:present\:age}$

$\large\sf\underline{Solution\::}$

First of all, let the age of Raju and Hari to be x yrs.

Then, their age becomes :

→ Raju = 5x

→ Hari = 7x

Four years from now, their age will become :

→ Raju = 5x + 4

→ Hari = 7x + 4

According to question (A.T.Q)

$\large\implies\sf{\frac {5x+4}{7x+4} = \frac {3}{4}}$

$\large\implies\textsf{4 (5x+4) = 3 (7x+4)}$

$\large\implies\textsf{20 x + 16 = 21 x + 12}$

$\large\implies\textsf{-x = -4}$

Here, “–” will be cancelled with each other.

$\large\implies\textsf{x=4}$

Let's put “4” now :

→ Raju = 5x = 5 × 4 = 20

→ Hari = 7x = 7 × 4 = 28

____________________________

Thank you!!