the product P of three positive integer is 9 times their sum and one of the integer is sum of other two sum of possible vales of p is
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Step-by-step explanation:
Let x, y, z be three positive integers.
According to statement
x*y*z=9*(x+y+z).........(1)
Second condition
one integer is sum of other two,
so let x=y+z.........(2)
Put (2) in (1), then,
x*y*z = 9(x + x) = 18x
=>y*z=18
possible values of y and z are
Case 1. y=1, z=18; => x=19
Case 2. y=2, z=9; => x=11
Case 3. y=3, z=6; => x=9
sum of possible values of p are
1 × 18 × 19 = 342
2 × 9 × 11 = 198
3 × 6 × 9 = 162
So sum = 602
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Answer:
sum of 602...................
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