Sum of consecutive multiples of 23 is 1656. Find the multiples.(a) 529, 552, 575(b) 629, 662, 675(c) 189, 222, 275(d) 389, 332, 375I have been asked this question during a job interview.I want to ask this question from Solving Linear Equations with Variables on Both the Sides in division Linear Equations in One Variable of Mathematics – Class 8

Sum of consecutive multiples of 23 is 1656. Find the multiples.(a) 529

1.	Sum of consecutive multiples of 23 is 1656. Find the multiples.(a) 529, 552, 575(b) 629, 662, 675(c) 189, 222, 275(d) 389, 332, 375I have been asked this question during a job interview.I want to ask this question from Solving Linear Equations with Variables on Both the Sides in division Linear Equations in One Variable of Mathematics – Class 8
Answer» The correct choice is (a) 529, 552, 575 For explanation I WOULD SAY: LET (x – 23), x and (x + 23) be the three consecutive multiples. Now, the sum of these numbers is 1656. (x – 23) + x + (x + 23) = 1656 ∴ x – 23 + x + x + 23 = 1656 ∴ 3x = 1656 ∴ x = 552 Hence, x – 23 = 529 and x + 23 = 575 The three consecutive multiples of 23 which sum up to 1656 are 529, 552 and 575.

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