Example 9. A man gave 1/3 of his money to his son,
1/5 of his money to his daughter and the
remaining to his wife. If his wife gets 35000, what was the total amount?
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Example 9. A man gave 1/3 of his money to his son,
1/5 of his money to his daughter and the
remaining to his wife. If his wife gets 35000, what was the total amount?
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Answer:
Let the total amount be x
son amount=x/3
daughter amount=1/5
remaining amount=35000
total amount= son's amount+daughter's amount +wife
x=x/3+x/5+35000
x-x/3-x/5=35000
Lcm of 3,5 is 15
(15x-5x-3x)/15=35000
(15x-8x)/15=35000
7x/15=35000
7x=35000*15
x=(35000*15)/7
x=5000*15
x=75000
therefore total amount is 75000