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Answer:Total number of eggs is 49
Step-by-step explanation:
LCM of 3 and 4 is 12. So those numbers which when divided by 3 and divided by 4 leaves a remainder of 1, will also leave a remainder of 1 when divided by 12.
Multiples of 12 are,
12, 24, 36, 48, 60, 72, 84, 96
So the numbers when divided by 12 leaves a remainder of 1 are 13, 25, 37, 49, 61, 73, 85, 97 (by adding 1 to each of the above numbers
The number is divisible by 7. So multiples of 7 are
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98.
The number common to these two sets is 49
So the total number of eggs in the basket is 49
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