Three numbers are in AP. Their sum is 24 and their product is 440. Find the largest number.
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Three numbers are in AP. Their sum is 24 and their product is 440. Find the largest number.

G1 Physics · Accepted Answer

Write the numbers as 8−d, 8, 8+d. Their product is 8(64−d²)=440. Hence 64−d²=55, d²=9 and d=3 in magnitude. The numbers are 5,8,11; largest=11.