Vinod distributes 400 gifts among 4 children. The gifts received by the first child, twice the gifts received by the second child, three times the gifts received by the third child and four times the gifts received by the fourth child are all equal. How many gifts did the first and second child receive in total?
288
Let the common value be k, so the shares are k, k/2, k/3 and k/4.
Total: k(1 + 1/2 + 1/3 + 1/4) = 400, i.e., k × 25/12 = 400, so k = 192.
First child = 192 and second child = 192/2 = 96.
Together they receive 192 + 96 = 288 gifts.
Hence, 288.
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