A man and his wife share a sum of money in the ratio 3:2. If the sum of money is doubled, in what ratio should they divide it so that the man still rceives the same amount?
3:7
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To solve this problem, we need to go step by step.
Step 1: Understand the initial ratio of the man and his wife's share of money. In this case, the ratio is given as 3:2, which means the man receives 3 parts and the wife receives 2 parts.
Step 2: Determine the total number of parts in the ratio. In this case, the total number of parts is 3 + 2 = 5.
Step 3: Calculate each part's value. To find the value of each part, divide the sum of money by the total number of parts. Let's assume the sum of money is "S." So, each part is worth S/5.
Step 4: Double the sum of money. The new sum of money is 2S.
Step 5: Determine the new ratio for the man and his wife's share of the doubled amount. Since the man still receives the same amount, his share remains as 3 parts. The wife's new share can be calculated.
If each part is worth S/5, then 3 parts are worth 3 * (S/5) = 3S/5.
Step 6: Find the new ratio. The new ratio is 3S/5:2S, which simplifies to 3:2.
So, even after doubling the sum of money, the man and his wife should divide it in the ratio 3:2 to maintain the same distribution.