Question

Five years ago nuri age was thrice as old as sonu ten years later, nuri will be twice as old as sonu how old nuri and sonu ?

Answer 1

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Answer 2

Answer:

Let present age of sonu x

Let present age of niru y

$\large{\underline{\mathrm{\green{According\:\:to\:\:the\:\:given\:\:information:-}}}}$

$\\ \\ \sf x - 5 = 3 \: (y - 5) \\ \\ \\ \implies \sf \: x - 3y = - 10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \qquad(i)\\ \\ \\ \implies \sf \: x + 10 = 2(y + 10) \\ \\ \\ \implies \sf \: x - 2y = 10 \quad \qquad \quad \: \: \: \: (ii)$

Subtracting equation (1) from equation (2), we obtain :

• y = 20(3)

Substituting it in equation (1), we obtain :

$\sf \: x - 60 = - 10 \\ \\ \\ \sf \blue{x = 50}$

Hence,

• Age of nuri = 50 years
• Age of Sonu = 20 years