Question

Mohan and Sunil had some amounts with them.
If Mohan gave 30 to:Sunil, he would have 40 lessthan Sunil. If Sunil gave 40 to Mohan,he would have
one-third of the amount with Mohan. Find the initialamount with Mohan.
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Answer 1

Answer:

Mohan and Sunil had some amounts with them.

If Mohan gave 30 to:Sunil, he would have 40 lessthan Sunil. If Sunil gave 40 to Mohan,he would have

one-third of the amount with Mohan. Find the initialamount with Mohan.

Answer 2

Step-by-step explanation:

Let Sunil have rs. x with him & Mohan have rs. y.

Then, according to the question,

x + 30 = (y - 30) + 40

=> x + 30 = y + 10

=> x - y = -20

Now, again sunil gave rs.40 to Mohan, so,

x - 40 = (y + 40) ÷ 3

=> 3x - 120 = y + 40

=> 3x - y = 160

By elimination method,

3x - y - x + y = 160 + 20

=> 2x = 180

=> x = 90

Now, initial amount with Mohan was,

x - y = -20

=> 90 - y = -20

=> 90 + 20 = y

=> y = rs. 110