Question

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, 375

I 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 1

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.