Question

If x:y=3:2 find (5x+3y): (7x+2y)​

Answer 1

Step-by-step explanation:

if x:y = 3:2

then take x = 3k and y = 2k

substituting the values in the equation

5x + 3y, we get

5(3k) + 3(2k)

= 15k + 6k (name it as 1)

in another equation

7x + 2y, we get

7(3k) + 2(2k)

= 21k + 4k (name it as 2)

now putting both equations in form of ratio

15k + 6k : 21k + 4k

21k : 25k

cancelling k

we get

21 : 25

hope it helps

Answer 2

if x:y = 3:2

then, (5×3+3×2) : (7×3+2×2)

= (15+6) : (21+4)

= 21 : 25