Question

If x : y = 2 : 3 and z : w + 5x : 7y, then

what is the value of xz : yw?

A. 10 : 21

B. 15 : 32

C. 4 : 9

D. 20 : 63​

Answer 1

Given: x : y = 2 : 3 and z : w = 5x : 7y

To find: the value of xz : yw

Solution:

• Given, x : y = 2 : 3 or, x / y = 2 / 3 ... ...(1)

• Also, z : w = 5x : 7y
• or, z / w = 5x / 7y
• or, z / w = 5 / 7 * x / y
• or, z / w = 5 / 7 * 2 / 3 [ by (1) ]
• or, z / w = 10 / 21 ... ...(2)

• Now, xz : yw
• = xz / yw
• = x / y * z / w
• = 2 / 3 * 10 / 21 [ by (1) and (2) ]
• = 20 / 63
• = 20 : 63

Answer: Option (D) 20 : 63 is correct.

Answer 2

Answer:

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