AP ICET 2016 Paper

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Question : 88 of 200

Marks: +1, -0

If

{a}:{b}=5:8

, then

(4{a}+5{b}):(5{a}+4{b})=

60 : 59
59 : 60
60 : 57
57 : 60

Solution:

Given : a : b = 5 : 8

⇒a/b=5/8

Now,

{4a+5b}/{5a+4b}

Dividing numerator and denominator by b we get.

{4({a}/{b})+5}/{5({a}/{b})+4}={4×{5}/{8}+5}/{5×{5}/{8}+4}={{20}/{8}+5}/{{25}/{8}+4}={60}/{57}

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