Question

Manjit thinks of a factor of 24. Gabriella thinks of a multiple of 13. The square of Manjit's number is 3 less than Gabriella's number What is the number that Gabriella thought of ​

Answer 1

SOLUTION

GIVEN

• Manjit thinks of a factor of 24.

• Gabriella thinks of a multiple of 13.

• The square of Manjit's number is 3 less than Gabriella's number

TO DETERMINE

The number that Gabriella thought of

EVALUATION

Here it is given that Manjit thinks of a factor of 24

Also Gabriella thinks of a multiple of 13 and square of Manjit's number is 3 less than Gabriella's number

Now factors of 24 are 1 , 2 , 3 , 4 , 6 , 8 , 12 , 24

Now the square of the above numbers are respectively 1 , 4 , 9 , 16 , 36 , 64 , 144 , 576

Now adding 3 each of the above numbers we get respectively 4 , 7 , 12 , 19 , 39 , 67 , 147 , 579

Noe only 39 is the multiple of 13

Hence the required number Gabriella thought of is 39

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