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When Gopal gives Rs 10 from his money to Laxmi her money becomes double thanthat of the remaining money of Gopal. When Laxmi gives Rs 10 to Gopal his moneyis still Rs 10 less than the remaining money of Laxmi. Find their original sum ofmoney.​

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Answer:

money with Gopal rs. 60

money with laxmi Rs. 90

Total money with them = Rs. 150

Explanation:

Let money with gopal be x

let money with laxmi be y

Given

Gopal gives Rs 10 from his money to Laxmi her money becomes double thanthat of the remaining money of Gopal

Money left with gopal after giving Rs 10 = x-10

money with Laxmi after getting rs 10 = y+10

according to given condition

money with laxmi = 2*money left with Gopal

y+10 = 2(x-10)

___________________________________________________

Laxmi gives Rs 10 to Gopal his moneyis still Rs 10 less than the remaining money of Laxmi.

Money left with Laxmi after giving Rs 10 = y-10

money with Gopal after getting rs 10 = x+10

according to given condition

money with laxmi -10 =money with Gopal

y-10-10 =x+10

y-20 = x+10

=> y = x+10+20

y = x+30

substituting y = x+30 in y+10 = 2(x-10)

x+30 +10 = 2(x-10)

x+40 = 2x-20

=>40+20 = 2x-x

=> x = 60

y = x+30 = 60+30 = 90

Thus,

money with Gopal rs. 60

money with laxmi Rs. 90

Total money with them = 60+90 = rs. 150

User Lordadmira
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