Math, asked by ahilyaTathod, 1 year ago

sum of the present ages of ram and raju is 31.3years ago rams age was 4times the age of raju. Find their present ages

Answers

Answered by parthgangwal
29
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Answered by SerenaBochenek
2

Answer:

Present ages of Ram and Raju are 23 yrs and 8 yrs respectively.

Step-by-step explanation:

Given that the sum of the present ages of Ram and Raju is 31.

Let the present ages are

Ram present age=x yrs

Raju present age=y yrs

As sum of the present ages of ram and raju is 31

x+y=31  →   (1)

3 yrs ago the ages are

Ram age=(x-3) yrs

Raju age=(y-3) yrs

Also given 3 years ago Rams age was 4 times the age of Raju

⇒ (x-3)=4(y-3)

⇒ x-4y=-9  →   (2)

Solving equation (1) and (2), we get

(1) ⇒ x=31-y

Substitute the value of y in (2)

31-y-4y=-9

⇒ y=8  gives x=31-8=23

Hence, present ages of Ram and Raju are 23 and 8 respectively.

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