Question

if x:y=2:3, find the value of (3x+2y):(2x:5y)​

Answer 1

Answer:

Well,

be cautious with asimov's answer

because : x/y = 2/3

does not mean x = 2 and y = 3

what asimov is not saying...;

but he nevertheless writes : take x = 2 and y = 3

... and it works, but only because the expression is made the way it is.

so

it more details, it gives :

if x/y = 2/3 then

we have : deviding by y on nominator and denominator

(3x+2y) / (2x+5y) = (3 (x/y) + 2) / (2 (x/y) + 5)

so

(3x+2y) / (2x+5y) = (3 . 2/3 + 2) / (2 . 2/3 + 5)

(3x+2y) / (2x+5y) = (3 . 2/3 + 2) / (2 . 2/3 + 5)

times 3 on nominator and denominator

(3x+2y) / (2x+5y) = (3 . 2 + 2 . 3) / (2 . 2 + 5 . 3)

finally:

(3x+2y) / (2x+5y) = 12/19

hope it' ll help !!

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