if 256 is the third proportional of a and b where a:b=3:16 then find the value of a + b
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Answered by
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Answer:
if a, b, c are in proportion ,
than ,
b is the third proportion , means ,
b² = ac
A/q,
b² = 256a -----------(1)
now ratio of a:b = 3:16 ,
let a= 3x, b = 16x
putting values in first we get ,
(16x)² = 256*3x
256x² = 256*3x
x = 3
Numbers are :- 3*3 and 3*16 = 9 and 48 = a and b
sum = 48+9 = 57 (Ans.)
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