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
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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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