Ajay and Raj together have Rs.1050.On taking 150 from Ajay,
Ajay will have same Amount as what Raj had earlier. Find the
ratio of amount with Ajay and Raj initially?
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4 : 3
◈ Let the money with Ajay be denoted as 'x' and that of Raj be denoted as 'y'.
Now
◈ According to the question,
❥ x + y = Rs. 1050 ...( 1 )
After 150 rupees is taken from Ajay, Ajay would have the same money which Raj had. Hence interpreting it as an equation we get,
❥ x - 150 = y ...( 2 )
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Substituting ( 2 ) in ( 1 ) we get,
❥ x + x - 150 = 1050
❥ 2x = 1050 + 150
❥ 2x = 1200
❥ x = 1200 / 2 = 600
Hence Ajay had Rs. 600 initially.
❥ y = x - 150
❥ y = 600 - 150
❥ y = Rs. 450
◈ Hence Raj had 450 initially.
◈ Ratio of Ajay's Money to Raj's Money is:
❥ x : y = 600 : 450 = 4 : 3
Hence 4 : 3 is the required ratio.
◈ ━━━━━━━ ⸙ ━━━━━━━ ◈
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