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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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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