# If AM and GM of t GM = √ab

Given AM = 10, GM = 8. a + b = 20

a = 20–b 20b – b2 = 64

b2 – 20b + 64 = 0

b2 – 16b – 4b + 64 = 0

b(b – 16) – 4(b – 16) = 0

b = 4 or b = 16

If b = 4 then a = 16

If b = 16 then a = 4.

Hence, the numbers are 4 and 16.

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