Dividing

One always remained when dividing the tangerines into packages of 8 or 10. How many were there, if more than 250 and less than 300?

Correct answer:

n =  281

Step-by-step explanation:

8=23 10=25 LCM(8,10)=235=40  a=LCM(8,10)=40 s1=250/a=250/40=425=641=6.25 s2=300/a=300/40=215=721=7.5 s1 < 7 < s2 n=7 a+1=7 40+1=281   Verifying Solution:  281 = 8 × 35 + 1 281 = 10 × 28 + 1



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