Five years ago nuntan was thrice old as shalia.Ten years later nuntan will be twice old as shalia .How old are nuntan and shalia
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Let the present age of Shikha and Rani be x and y respectively.
∴ Given that five years ago, Shikha was thrice as old as Rani.
⇒(x−5)=3(y−5)
⇒x−5=3y−15
⇒3y−x=10⟶(i)
Also given that 10 years later, Shikha will be twice as old as Rani.
∴(x+10)=2(y+10)
⇒x+10=2y+20
⇒x=2y+10
Substituting the value of x in eq
n
(i), we have
3y−(2y+10)=10
⇒3y−2y−10=10
⇒y=20
∵x=2y+10
⇒x=2×20+10
⇒x=50
Hence, present age of Shikha and Rani are 50 and 20 respectively.
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