Question

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?​

Answer 1

Answer:

4 : 3

Step-by-step explanation:

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 )

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.

Hope it helped !!

Answer 2

» Ajay and Raj together have Rs.1050. On taking 150 from Ajay, Ajay will have same Amount as what Raj had earlier.

• Let Ajay had money = M and Raj had money = N

A.T.Q.

→ M + N = 1050

→ M = 1050 - N ________ (eq 1)

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Case 2)

→ M - N = 150

→ (1050 - N) - N = 150

→ 1050 - 2N = 150

→ - 2N = 150 - 1050

→ - 2N = - 900

→ 2N = 900

→ N = 450 (Money that Raj had)

Put value of N in (eq 1)

→ M = 1050 - 450

→ M = 600 (Money that Ajay had)

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We have to find the ratio of amount with Ajay and Raj initially.

=> Ajay/Raj = M/N

=> 600/450

=> 4/3

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4 : 3 is the ratio of amount

_______ [ ANSWER ]

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