Question

Sahil and Arman are brothers and have Rs.60
and Rs. 120 respectively. Sahil saves Rs.7 per
day and Arman saves Rs.5 per day. In how
many days will Sahil and Arman save the
same amount of money?​

Answer 1

SOLUTION

GIVEN

• Sahil and Arman are brothers and have Rs.60 and Rs. 120 respectively.

• Sahil saves Rs.7 per day and Arman saves Rs.5 per day.

TO DETERMINE

The number of days after which Sahil and Arman have the same amount of money

EVALUATION

Let after n days Sahil and Arman have the same amount of money

Now it is given that Sahil and Arman are brothers and have Rs.60 and Rs. 120 respectively.

Sahil saves Rs.7 per day and Arman saves Rs.5 per day.

So after n days :

Amount of Sahil = Rs ( 60 + 7n )

Amount of Arman = Rs ( 120 + 5n )

So by the given condition

$\sf{60 + 7n = 120 + 5n}$

$\sf{ \implies \: 7n - 5n = 120 - 60}$

$\sf{ \implies \: 2n = 60}$

$\sf{ \implies \: n =30}$

Hence after 30 days Sahil and Arman will have the same amount of money

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