Question

The average of 6 consecutive even numbers is 25. If the next even number is also considered, then what is the new average. ??

Answer 1

Answer:

$x + (x + 2) + (x + 4) + (x + 6) + (x + 8) + (x + 10) \div 6= 25\\ x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 \div 6 = 25 \\ 6x + 30 \div 6 = 25 \\ 6x + 30 = 25 \times 6 \\ 6x + 30 = 150 \\ 6x = 150 - 30 \\ 6x = 120 \\ x = 120 \div 6 \\ x = 20 \\ \\ \\ the \: numbers \: are \: 20 \: 22 \: 24 \: 26\: 28 \: 30 \: and \: the \: new \: number \: added \: is \: 32 \\ so \\ \\ (20 + 22 + 24 + 26 + 28 + 30 + 32 ) \div 7 \\ 182 \div 7 \\ 26 \\ \\ the \: new \: average \: is \: 26$

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