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The average height of 40 students is 163 cm. On a particular day, three students namely A, B, C were absent and the average of the remaining 37 students was found to be 162 cm. If A and B have equal height and the height of C be 2 cm less than that of A, find the height of A.
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- 170 cm
- 172 cm
- 176 cm
- 174 cm
- 170 cm
Correct Option: C
Let the height of A, B, C be y cm, y cm and (y – 2) cm respectively.
Now, sum of height of 40 students = 163 × 40 = 6520 cm
Sum of height of 37 students excluding A, B and C = 162 × 37 = 5994 cm.
∴ Sum of heights of A, B and C = (6520 – 5994) = 526 cm
According to question ,
⇒ y + y + y –2 = 526
⇒ 3y = 526 + 2 = 528
⇒ y = 528 ÷ 3 = 176 cm
∴ Height of A = 176 cm
