Question

`2/11` of x is equal to y and the respective ratio between (x + 16) and y is 37 : 6. What Is the value of x?

Options

• 121

• 132

• 110

• 108

Answer 1

132

Explanation:

According to the question,

`(2"x")/11` = y

Again, `("x" + 16)/"y" = 37/6`

⇒ `("x" + 16)/((2"x")/11) = 37/6`

⇒ `(11("x" + 16))/"x" = 37/3`

⇒ 37x = 33x + 528

⇒ 37x − 33x = 528

⇒ 4x = 528

⇒ x = `528/4`

= 132