Question

Hamid had three times as much money as Rashid if Hamid gives Rashid 50 Rashid will then have three times as much money as Hamid how much money do the two of them have together​

Answer 1

Given:

(i) Hamid had three times as much money as Rashid.

(ii) If Hamid gives Rashid 50 Rashid will then have three times as much money as Hamid

To find:

(i) How much money do the two of them have together​

Solution:

Initially, Hamid had 3 times as much as Rashid.

Let us consider Hamid to have Rs x and Rashid Rs y.

So, x = 3y  ....(1)

After giving Rs 50 to Rashid, Hamid will have Rs (x-50) and Rashid Rs (y+50).

Now,

y+50 = 3(x-50)

⇒ y+50 = 3x-150

⇒ y = 3x-200

Substituting the value of x from (1), we get,

y = 3(3y) - 200

⇒ 8y = 200

⇒ y = 200/8 = 25

x = 3y

= 3(25)

= 75

So, Hamid has Rs 75 and Rashid has Rs 25.