ABC26GN0857 · Simplification

Subject: General Aptitude · Chapter: Simplification · Exam: · Marks: · Difficulty:

If $(x-4)^{3}+(x-9)^{3}+(x-8)^{3}=3(x-4)(x-9)(x-8)$, find the value of $x$.
Answer
Answer (as printed):
Explanation
If a3 + b3 + c3 = 3abc, then a + b + c = 0. So, we have: (x – 4) + (x – 9) + (x – 8) = 0 ⇒ 3x – 21 = 0 ⇒ 3x = 21 ⇒ x = 7.

Explanation as extracted from the printed page; notation may be imperfect.

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