If 5 + x, 2x + 7, 6x + 9 and y are in proportion when x = 2,then find the value of y.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 33.
The numbers 5 + x, 2x + 7, 6x + 9, and y are in proportion.
Put in x = 2
⇒ 5 + x = 5 + 2 = 7 ⇒ 2x + 7 = 2×2 + 7 = 4 + 7 = 11 ⇒ 6x + 9 = 6×2 + 9 = 12 + 9 = 21
So,
⇒ 7 : 11 = 21 : y
⇒ 7 × y = 11 × 21 ⇒ 7y = 231 ⇒ y = 231 ÷ 7 = 33