A man and his wife share a sum of money in the ratio 3:2. If the sum of money is doubled, then in what ratio should they divide it so that the man still receives the same amount?
man's present share = 3x
wife's pesent share = 2x
total = 5x
after doubling: sum = 10x
but he still wants only 3x
so his fraction = 3x/10x = 3/10
so his wife's share = 7/10
they should divide it in the ration of 3 : 7
To solve this problem, we need to follow these steps:
Step 1: Understand the initial situation.
The initial sum of money is divided in the ratio 3:2 between the man and his wife. Let's assume the amounts they receive are 3x and 2x respectively, where x represents the common factor.
Step 2: Determine the new situation after the sum of money is doubled.
If the sum of money is doubled, the new amount becomes 2 times the initial amount. Therefore, the new amounts received by the man and his wife would be 6x and 4x respectively.
Step 3: Find the ratio in which they should divide the new sum of money.
Since we want the man to receive the same amount as before, we need to find the ratio in which the new sum of money is divided so that the man receives 3x. Let's assume the common factor for the new ratio is y.
Step 4: Set up an equation based on the given conditions.
According to the condition, the man's share (6x) in the new situation should be the same as the man's share (3x) in the initial situation. We can set up the equation:
6x = 3x/y
Step 5: Solve the equation for y.
To solve the equation, we can cross multiply:
6x * y = 3x
Divide both sides of the equation by 6x:
y = 3x / 6x = 1/2
Therefore, the man and his wife should divide the doubled sum of money in the ratio 1:2 so that the man still receives the same amount.
It should be 3:7
Because if we double the answer should be 6:4 but the man should still receives the same amount so
3: 4 + 3 = 3:7
man's present share = 3x
wife's pesent share = 2x
total = 5x
after doubling: sum = 10x
but he still wants only 3x
so his fraction = 3x/10x = 3/10
so his wife's share = 7/10
they should divide it in the ration of 3 : 7
For the woman's fraction how it is 7/10 ?
Man's share= 3x
Woman's share= 2x
If we double the sum= 5x2=10x
woman's share would be= 10x-3x=7x
3:7
Man’s share=3x
Woman’s share=2x
Total=5x
5x+5x=10x. The man wants 3x
Fraction: 3x/10x = 3/10
Woman’s fraction= 7/10
They should divide the ratio of 3;6