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There are 715 boys and 871 girls. The studentsare to be arranged in groups so that each grouphas same number of boys or girls. Find thegreatest number possible in each group. ( HCF) |
Answer» Solution :the REQUIRED number is the HCF of 715 boys and 871 girls by long division method we have _____ 715) 871 ( 1 - 715 ⠀ ___ _____ 156 ) 715 ( 4 ⠀⠀⠀⠀ - 624 ⠀⠀⠀⠀___ _____ ⠀⠀⠀⠀⠀91 ) 156 ( 1 ⠀⠀⠀⠀⠀⠀⠀- 91 ⠀⠀⠀⠀⠀⠀ ___ _____ ⠀⠀⠀⠀⠀⠀⠀65 ) 91 ( 1 ⠀⠀⠀⠀⠀⠀⠀⠀⠀ - 65 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀__ ____ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀26 ) 65 ( 2 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀- 52 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀___ ___ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 13) 26 ( 2 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ - 26 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠀ __ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀00 HCF of 715 and 871 is 13 hence the greatest number of STUDENTS in each group is 13 ➸ no. of group = 715/13 + 871/13 ➸ 55 + 67 ➸ 122 |
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