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The numbers x, y and z are respectively proportional to 2, 3 and 5 and the sum of x, y and z is 80. If the number z is given by the equation z = ax – 8, then a is
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- 6
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3 2 - 3
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5 2
Correct Option: C
According to the question,
x = 2k
y = 3k
z = 5k
∵ x + y + z = 80
⇒ 2k + 3k + 5k = 80
⇒ 10k = 80
| ⇒ k = | = 8 | |
| 10 |
∴ x = 2 × 8 = 16
y = 3 × 8 = 24
z = 5 × 8 = 40
∴ z = ax – 8
⇒ 40 = a × 16 – 8
⇒ 16a = 40 + 8 = 48
| ⇒ a = | = 3 | |
| 16 |
