Let the number of boys = n1
and number of girls = n2
Average boys' score = 71=¯X1
Average girls' score =73=¯X2
Combined mean =n1¯X1+n2¯X2n1+n2
71.8=n1(71)+n2(73)n1+n2
71n1+73n2=71.8n1+71.8n2
71n1−71.8n1=71.8n2−73n2
−0.8n1=−1.2n2
n1n2=1.20.8⇒n1n2=32
⇒n1:n2=3:2
∴ No. of boys : No. of girls = 3:2