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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. |
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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.
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 = => 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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