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In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12

years or older. how many students are 10 years old?

Let the total no.of students be 'x'. then 50% of x=x/2 1/20 of x=x/20 1/10 of x =x/10 remaining 70 students . now we have , x/2=x/20+x/10+70 LCM of 20 and 10=20 x/2={(x+2x)/20}+70 x/2=3x/20+70 x/2=(1400+3x)/20 20x=2{(1400+3x)} 20x=2800+6x 20x-6x=2800 14x=2800 x=2800/14 x=200. number of 10 year old students are = x/20 =200/20 =10.