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ATQ,
Let the number of people in group and average weight be 'n' and 'm' kg, respectively.
So,
mn - 3 × 70 = (n - 3) × (m - 2)
⇒ mn - 210 = mn - 2n - 3m + 6
⇒ 2n + 3m = 216 --------- (I)
And,
mn - 4 × 68 = (n - 4) × (m - 2.5)
⇒ mn - 272 = mn - 2.5n - 4m + 10
⇒ 2.5n + 4m = 282 -------- (II)
Now solving:
Multiply (I) by 4: 8n + 12m = 864
Multiply (II) by 3: 7.5n + 12m = 846
Subtracting:
0.5n = 18
⇒ n = 36
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