Question

the sum of the three consecutive numbers in AP is '-3' and their product is 8 find the numbers​

Answer 1

Answer:

takes 3 hours more than B to walk 30 km. But if A doubles his pace, he is ahead of B

by 3/2 hours. Find their speed of walking.

Answer 2

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Given:

• Sum of 3 consecutive terms of an AP is -3
• Product of them is 8

To Find:

• The numbers

Assumption:

• Let the numbers be (a - d), a, (a + d)

Solution:

$Acc.\:to\: question,\\\implies a - d\!\!\!/\: + a + a + d\!\!\!/\: = -3 \\\implies 3a = -3 \\\implies a = -1\\ Also,\\\implies (a - d)*a*(a + d) = 8 \\\implies a(a^2 - d^2) = 8 \\\implies (-1)*(-1^2 - d^2) = 8 \\\implies -(1 - d^2) = 8 \\\implies d^2 = 8 + 1 \\\implies d = \sqrt{9} \\\implies d = \pm 3 \\\\\implies The\:nos\:are-: \\\bold{1) a - d = -1 - 3 = -4 \:\:\:Or \:\:\:a - d = -1 + 3 = 2} \\\bold{2) a = -1} \\\bold{3) a + d = -1 + 3 = 2 \:\:\:Or \:\:\:a - d = -1 - 3 = -4} \\ \\\bold{\implies The\:numbers\:are\: -4, -1\&\:2\: respectively}$

Hope it helps!