The kids Phaloa and Adhiphalaa (don't confuse with Balaa and Adhibalaa, the abracadabra that sage Vishwamitra taught to Raama al
Lakshmana to successfully slay the demoness Taadaka) carry some fruits. Being tender and small, each could carry only a single digit
number of fruits. Adhiphalaa has three times the fruits that Phalaa has. If the digits corresponding to Phalaa's and Adhiphalaa's fruits are
written in that order, the resulting two digit number is a multiple of three. How many fruits does Adhiphalaa have? Write your answer as
a numeral, without any extra characters.
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Answer:
Adhiphalaa has 9 Fruits
Step-by-step explanation:
Adhiphalaa has three times the fruits that Phalaa has
Let say Phalaa has = P
& Adhiphalaa has = A
=> A = 3P
the digits corresponding to Phalaa's and Adhiphalaa's fruits are
written in that order,
PA = 10P + A
= 10P + 3P
= 13P
13 is a Prime number so P must be a multiple of 3
=> P = 3 , 6 , 9
=> A = 9 , 18 , 27
P & A both are single Digit
so only Solution is 3 , 9
Adhiphalaa has 9 Fruits
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