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The sum of five numbers is 655. The average of the first two numbers is 80 and the third number is 109. Find the average of the remaining two numbers.
Question

The sum of five numbers is 655. The average of the first two numbers is 80 and the third number is 109. Find the average of the remaining two numbers.

A.

190

B.

194

C.

193

D.

189

Correct option is C

Given:

Sum of 5 numbers = 655

Average of first 2 numbers = 80

Third number = 109

Find: Average of last two numbers

Formula Used:

Average → Sum = Average × Number of terms

Remaining sum = Total sum − Sum of known numbers

Average = (Sum of remaining numbers) / 2

Solution:

Sum of first two numbers = 80 × 2 = 160

Remaining two numbers sum = 655 - (160 + 109) = 386

Average of last two numbers = 3862\frac{386}{2}​ = 193

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