A man divides his property in such a way that his first three sons get , and of the property respectively and the fourth son gets the remainder amount of $2000. What was the whole property worth?
The Usual Method
Let the worth of the whole property be ‘x’.
Hence the shares of the first three sons will be: , and respectively.
Hence remaining property after dividing it among the first three sons is:
Estimated Time to arrive at the answer = 30 seconds.
Observe that the property needs to be divided into , and parts. This means that the property is divisible by 2, 4 and 6 i.e. 12 (LCM of 2, 4 and 6). Hence the property is divisible by 12. The only option that is divisible by 12 is $24000 (option ‘4’).
Estimated Time to arrive at the answer = 5 seconds.