If x : y = 3 : 4, the value of x^{2}y + xy^{2} : x^{3} + y^{3} is

- a)13 : 12
- b)12 : 13
- c)21 : 31
- d)none of these

Correct answer is option 'B'. Can you explain this answer?

By
Yogita Mate
·
Nov 27, 2018 ·CA Foundation

5 Answers

Tanishq Singhal
answered
Jun 18, 2018

Answer is (b) because when we put the value on given equation so we get 84:91 so it is divisible by 7 and we get 12:13

Dinesh Kukreja
answered
Nov 27, 2018

ii) From the given data, we have x = (3/4)y or 4x = 3y

iii) (x2y + xy2) :: (x2 + y2) = xy(x + y)/{(x + y)(x2 - xy + y2) = (xy)/(x2 - xy + y2)

Substituting x = (3/4)y from the above,

(x2y + xy2) :: (x2 + y2) = (3y2/4)/(9y2/16 - 3y2/4 + y2) = 12/(9 - 12 + 16) = 12/13

Rita Maske
answered
Oct 04, 2019

Put the value of x and y

3*3*4+3*4*4/3*3*3+4*4*4

36+48/27+64

84/91

12/13 are the divisible by 7

3*3*4+3*4*4/3*3*3+4*4*4

36+48/27+64

84/91

12/13 are the divisible by 7

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