If `a/b=x/y=p/q` then `(6a+9x+2p)/(6b+9y+2q)=`

Options

A. `(a)/(b)`
B. `(x)/(y)`
C. `(p)/(q)`
D. All of these

Answer

D

Explanation

Let `(a)/(b) = (x)/(y) = (p)/(q) = k " " (1)`
`therefore a = bk, x = yk, and p = qk`
`(6a + 9x + 2p)/(6b + 9y + 2q) = (6(bk) + 9(yk) + 2(qk))/(6b + 9y + 2q)`
` = k((6b+ 9y +2q)/(6b + 9y + 2q)) = k`
From Eq. (1), k is `(a)/(b) " or " (x)/(y) " or " (p)/(q).`
Hence, the correct option is (d).