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snow_lady [41]
3 years ago
14

The sum of three consecutive multiples of 4 is 444. Find these multiples.

Mathematics
2 answers:
melamori03 [73]3 years ago
3 0
First multiple of 4 is x = 144

Second multiple of 4 is x + 4 = 144 + 4 = 148

Third multiple of 4 is x + 8 = 144 + 8 = 152
Archy [21]3 years ago
3 0

Step-by-step explanation:

Let the first multiple of 4 be x and second multiple be (x + 4) and third multiple be (x + 8) ...[Since, the number are consecutive multiple of 4]

☯ \underline{\boldsymbol{According\: to \:the\: Question\:now :}}\\

:\implies  \sf x \:  + \:  x  \: +  \: 4 \:  +  \: x \:  +  \: 8  \: = \:  444 \\  \\  \\

:\implies \sf 3x \:  +  \: 12  \: =  \: 444 \\  \\  \\

:\implies \sf  3x  \:  = \:  444 \:  -   \: 12 \\  \\  \\

:\implies  \sf  3x \: =  \: 432 \\  \\  \\

:\implies  \sf x \:  =  \:  \dfrac{432}{3} \\  \\  \\

:\implies\underline{ \boxed{\sf x \:  =  \:  144}} \\

<h2>_________________</h2>

<h3>Therefore,</h3>

\bullet\:\:\textsf{First multiple of 4 = x = \textbf{144}} \\

\bullet\:\:\textsf{Second multiple of 4 = x + 4 = 144 + 4 = \textbf{148}} \\

\bullet\:\:\textsf{Third multiple of 4 = x + 8 = 144 + 8 = \textbf{152}}

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