Question

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

Answer 1

Step-by-step explanation:

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

Let,x= 2k,y= 3k

(3x + 2y) : (2x + 5y)= (3×2k+2×3k)/(2×2k+5×3k)

= 12k/19k

= 12/19

Answer 2

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We have x/y = 2/3

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

(Both numerator and denominator are divide by y)

= 3 × 2/3 + 2/2 × 2/3 + 5 = 4/19/3

= 4 × 3/19 = 12 : 19