Question

Arun and Sajal are friends . each has some money . if Arun gives Rs 30 to Sajal , then Sajal will have the twice the money left with Arun, if Sagal gives Rs 10 to Arun , then Arun will have thrice as much is left with Sajal . how much money does each have

Answer 1

Let the Money present in Arun Pocket be : A

Let the Money Present in Sajal Pocket be : S

Given : If Arun gives ₹30 to Sajal, then Sajal will have Twice the Money left with Arun

⇒ (S + 30) = 2(A - 30)

⇒ S + 30 = 2A - 60

⇒ S = 2A - 90

Given : If Sajal gives ₹10 to Arun, then Arun will have Thrice as much as left with Sajal

⇒ (A + 10) = 3(S - 10)

But, we found that : S = 2A - 90

⇒ (A + 10) = 3(2A - 90 - 10)

⇒ A + 10 = 6A - 300

⇒ 5A = 310

⇒ A = 62

Substituting A = 62 in S = (2A - 90), We get :

⇒ S = 2(62) - 90

⇒ S = 34

⇒ Arun has ₹62

⇒ Sajal has ₹34

Answer 2

Answer:

Hope it helps you mate

Step-by-step explanation:

Let the Money present in Arun Pocket be : A

Let the Money Present in Sajal Pocket be : S

Given : If Arun gives ₹30 to Sajal, then Sajal will have Twice the Money left with Arun

⇒ (S + 30) = 2(A - 30)

⇒ S + 30 = 2A - 60

⇒ S = 2A - 90

Given : If Sajal gives ₹10 to Arun, then Arun will have Thrice as much as left with Sajal

⇒ (A + 10) = 3(S - 10)

But, we found that : S = 2A - 90

⇒ (A + 10) = 3(2A - 90 - 10)

⇒ A + 10 = 6A - 300

⇒ 5A = 310

⇒ A = 62

Substituting A = 62 in S = (2A - 90), We get :

⇒ S = 2(62) - 90

⇒ S = 34

⇒ Arun has ₹62

⇒ Sajal has ₹34