The sum of four consecutive multiples of 9 is 378. Find these multiples?

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The sum of four consecutive multiples of 9 is 378. Find these multiples? [3 MARKS]

Options:

Answer: Option A
:

Framing the equation: 1 Mark
Steps: 1 Mark
Result: 1 Mark
Let the first number be $9 x$
Then, second consecutive number $= 9 (x + 1)$
Third consecutive number $= 9 (x + 2)$ ,
And, fourth consecutive number $= 9 (x + 3)$
According to question:
$9 x + 9 (x + 1) + 9 (x + 2) + 9 (x + 3) = 378$
$\Rightarrow 9 x + 9 x + 9 + 9 x + 18 + 9 x + 27 = 378$
$\Rightarrow 36 x + 54 = 378$
$\Rightarrow 36 x = 378 - 54$
$\Rightarrow 36 x = 324$
$\Rightarrow x = \frac{324}{36} = 9$
The numbers are 81, 90, 99 and 108.

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