The average number of cars with actors k, l and m is 27, which is 2 mo

1.	The average number of cars with actors k, l and m is 27, which is 2 more than the number of cars with l. If the number of cars with actor k is 5 more than double the number of cars with actor m. Find the average number of cars with k and l?1. 352. 343. 334. 32
Answer» Correct Answer - Option 4 : 32 Given: The average number of cars with actors k, l and m is 27, which is 2 more than the number of cars with l. The number of cars with actor k is 5 more than double the number of cars with actor m. Formula: Average of n numbers a₁, a₂ ... a_n = (a₁ + a₂ + ... a_n)/n Calculation: Total cars with k + l + m = 27 × 3 = 81 Number of cars with l = 27 – 2 = 25 K + m = 81 – 25 ⇒ K + m = 56 ----(1) Let number of cars with m be x Then with k = 2x + 5 ⇒ x + 2x + 5 = 56 ⇒ 3x = 51 ⇒ x = 17 Number of cars with k = 2x + 5 = 39 Average cars with k and l = 39 + 25 = 64/2 = 32 ∴ The average number of cars with k and l is 32.

The average number of cars with actors k, l and m is 27, which is 2 more than the number of cars with l. If the number of cars with actor k is 5 more than double the number of cars with actor m. Find the average number of cars with k and l?1. 352. 343. 334. 32

Answer» Correct Answer - Option 4 : 32

Given:

The average number of cars with actors k, l and m is 27, which is 2 more than the number of cars with l.

The number of cars with actor k is 5 more than double the number of cars with actor m.

Formula:

Average of n numbers a₁, a₂ ... a_n = (a₁ + a₂ + ... a_n)/n

Calculation:

Total cars with k + l + m = 27 × 3 = 81

Number of cars with l = 27 – 2 = 25

K + m = 81 – 25

⇒ K + m = 56 ----(1)

Let number of cars with m be x

Then with k = 2x + 5

⇒ x + 2x + 5 = 56

⇒ 3x = 51

⇒ x = 17

Number of cars with k = 2x + 5 = 39

Average cars with k and l = 39 + 25 = 64/2 = 32

∴ The average number of cars with k and l is 32.

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