Question

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
receives the same amount?

Answer 1

Answer: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

Step-by-step explanation:

Answer 2

$\large\underline{\underline{\sf Given:}}$

• A man and his wife share a sum of money in the ratio = 3:2.

$\large\underline{\underline{\sf To\:Find:}}$

• If the sum of money is doubled, in what ratio should they divide it so that the man still receives the same amount = ?

$\large\underline{\underline{\sf Solution:}}$

Let ,

Man share = 3x

Wife share = 2x

Total = 5x

$\large\underline{\underline{\sf According\: to\: question:}}$

Sum of money double , then :

Total sum will be = $\sf{5x × 2}$

$\large\implies{\sf 10x }$

But ,

Man get the same amount i.e = 3x

So, his wife must get :-

$\large\implies{\sf 10x-3x }$

$\large\implies{\sf 7x}$

So the ratio is now 3:7

$\Large\underline{\underline{\sf Answer:}}$

•°•So , if the sum of money is double they must divide in ratio of 3:7