the sum of three consecutive multiple of 7 is 777. find these multiple

3 answers

first number = 7 n

second number = 7 n + 7

third number = 7 n + 14

7 n + 7 n + 7 + 7 n + 14 = 777

21 n + 21 = 777 Subtact 21 to both sides

21 n + 21 - 21 = 777 - 21

21 n = 756 Divide both sides by 21

n = 756 / 21 = 36

first number = 7 n = 7 * 36 = 252

second number = 7 n + 7 = 7 * 36 + 7 = 252 + 7 = 259

third number = 7 n + 14 = 7 * 36 + 14 = 252 + 14 = 266

252 + 259 + 266 = 777
the average of 5 consecutive multiples of 9 is 54.what is the least but one number?
x, x+7, x+14=777

3x+21 = 777
3x = 777-21 = 756
3x=756
x=756/3
x=253

therefore 1st no = 253+7 = 259
2nd no= 253+14 = 266 [ans]
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