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the three consecutive integers are such that when they are taken in increasing order and multipled by 3 and 5 and 7 respectively. they add up to 124.find these number.​

Answer» ALIGN="absmiddle" alt="\large\red{\tt{\mathfrak{Question:-}}}" class="latex-formula" id="TexFormula1" src="HTTPS://tex.z-dn.net/?f=%5Clarge%5Cred%7B%5Ctt%7B%5Cmathfrak%7BQuestion%3A-%7D%7D%7D" title="\large\red{\tt{\mathfrak{Question:-}}}">

The three consecutive integers are such that when they are TAKEN in increasing order and multipled by 3 and 5 and 7 respectively. they add up to 124.find these number.

\large\red{\tt{\mathfrak{Answer:-}}}

Let the three consicutive integer are,

x, x+1, x+2

According to the question,

=> 3x + 5(x+1) + 7(x+2) = 74

=> 3x + 5x+5 + 7x+14 = 124

=> 15X + 19 = 124

=> 15x = 124 - 19

=> 15x = 105

=> x = {\frac {105}{15}}

=> x = 7.

then

The first integer= 7.

second integer= 7+1 = 8.

third integer = 7+2 = 9.

Hence, The three NUMBERS are Found.

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