Question

If x : y = 1 : 2, find the value of (2x + 3y) : (x + 4y)
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Answer 1

Answer:

hiiii

your answer is here !

Step-by-step explanation:

x : y = 1 : 2 means x/y = 1/2

Now, (2x + 3y) : (x + 4y) = (2x + 3y)/(x + 4y) [Divide numerator and denominator by y.]

= [(2x + 3y)/y]/[(x + 4y)/2] = [2(x/y) + 3]/[(x/y) + 4], put x/y = 1/2

We get = [2 (1/2) + 3)/(1/2 + 4) = (1 + 3)/[(1 + 8)/2] = 4/(9/2) = 4/1 × 2/9 = 8/9

Therefore the value of (2x + 3y) : (x + 4y) = 8 : 9

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Answer 2

Answer:

8/9

Step-by-step explanation:

ATQ

x : y=1 : 2

x/y = 1/2

y = 2 x

now

2x + 3y 2x + 3(2x)

-------------- = ------------------

x + 4y x + 4(2x)

2x + 6x

= ------------------

x + 8x

8x 8

= --------------------- =--------

9x 9