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Sarika multiplied 414 by certain number and obtained 69958
as the answer. But she found that there is some error in the
answer - both the 9s in the answer are wrong and all the
other digits are correct.

Can you find the correct answer?

Answer Posted / cami

Or, you can notice that 414 is divisible by 9 (because its
digits add to a multiple of 9). Therefore, 6xx58 must also
be a multiple of 9. 6+5+8 is 19, so the remaining digits
must either add to 8 or 17. So there are 11 possibilities
to try: 60858, 61758, 62658, 63558, 64458, 65358, 66258,
67158, 68058, 68958, and 69858. The only one that comes
out even when divided by 414 is 60858, which was luckily
the first one I tried!

Is This Answer Correct ?    5 Yes 2 No



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