Question

three years ago vijay,s age was three times ajaya,s age after 5years vijay, s age will be double that if ajay,s Age what one their ages now? ​

Answer 1

Answer:

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Answer 2

SOLUTION :-

Let,

Present age of Ajaya = x

Present age of Vijay = y

3 years ago,

Age of Ajaya = x - 3

Age of Vijay = y - 3

After 5 years,

Age of Ajaya = x + 5

Age of Vijay = y + 5

According to the first condition,

$\longrightarrow \sf 3(x-3)= y-3 \\\\\longrightarrow 3x-9 = y - 3 \\\\\longrightarrow 3x-y = -3+9 \\\\\longrightarrow 3x-y = 6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ .........................(1)$

According to the second condition,

$\longrightarrow \sf 2(x+5)= y+5 \\\\\longrightarrow 2x+10 = y+5 \\\\\longrightarrow 2x - y = - 5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ .........................(2)$

Eq (1) - Eq (2),

$\longrightarrow\bf x = 11$

Substitute the value of x in eq (1),

$\longrightarrow \sf 3\times 11 -y = 6 \\\\\longrightarrow 33-y = 6 \\\\\longrightarrow -y = -27 \\\\\longrightarrow\bf y = 27$

Present age of Ajaya = 11 years

Present age of Vijay = 27 years