Mathematics
When four consecutive integers are added, their sum is -46. The smallest integer is:
13
-13
10
-10
Linear Eqns One Variable
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Answer
Let the four consecutive integers be (x - 1), x, (x + 1) and (x + 2).
⇒ (x - 1) + x + (x + 1) + (x + 2) = -46
⇒ x - 1 + x + x + 1 + x + 2 = -46
⇒ 4x + 2 = -46
⇒ 4x = -46 - 2
⇒ 4x = -48
⇒ x = -
⇒ x = - 12
Other numbers are (x - 1), (x + 1), (x + 2)
= (-12 - 1), (-12 + 1), (-12 + 2)
= - 13, - 11, - 10
Hence, option 2 is the correct option.
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Statement 1: .
⇒ q(cx + d) = p(ax + b)
This process is cross-multiplication.
Statement 2: ax + b = c becomes ax = c - b after transposition.
Which of the following options is correct?
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.