Question
The average height of 14 students in a group is (x +
12). If the average of the first seven students is 140 cm and the average of the remaining seven students is 160 cm, find the value of (x + 22).Solution
According to the question, The average height of 14 students = (x + 12) = 14 * (x + 12) The total height of first seven students = 7 * 140 = 980 The total height of last seven students = 7 * 160 = 1120 980 + 1120 = 14 * (x + 12) 2100 = 14(x + 12) 150 = x + 12 x = 138 x + 22 = 160
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