Question
6 students ‘P’, ‘Q’, ‘R’, ‘S’, ‘T’ and
‘U’ took part in a quiz competition. The average score of all 6 was 72 marks. The average score of ‘P’, ‘R’, ‘S’ and ‘T’ was 70 marks. If ‘U’ scored 20 marks more than ‘Q’, then find the marks scored by ‘Q’.Solution
ATQ,
Sum of marks scored by all 6 students = 72 × 6 = 432
Sum of marks scored by ‘P’, ‘R’, ‘S’ and ‘T’ = 70 × 4 = 280
So, sum of marks scored by ‘Q’ and ‘U’ = 432 − 280 = 152
Let marks scored by ‘Q’ = x
Then, marks scored by ‘U’ = x + 20
So, x + x + 20 = 2x + 20 = 152
=> x = (152 − 20) ÷ 2 = 66
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