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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?

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? Correct Answer 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 ... an = (a1 + a2 + ... an)/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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