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Usha surveyed a class on World Food Day and observed that the numberof students who like Junk food is 4 more than the number of studentswho like home made

food. The sum of the squares of the number of twotypes of students is 400. Find the number of students who like Junk foodand who like home made food?


Let x be the no. of people who like junk food and
y be the people who like home made food

given : x = y + 4

given : x² + y² = 400
          (y+4)² + y² = 400

y² + 16 + 8y + y² = 400

y = 12

x = 16
0 0 0
No of students like junk food=16
no of students like home made food=12

0 0 0
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