The sum of the three numbers is 87. If twice the first number is 6 less than the second is 15 more than the third.
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Step-by-step explanation:
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Answer:
The numbers are 26, 46 & 67.
Step-by-step explanation:
Let the first number be x.
Second number be y.
And third number be z.
According to first condition,
x + y + z = 87 - - - (1)
According to the second condition,
2x = y + 6 = z - 15
=> 2x - y = 6 = z - 15
=> 2x - y - z = - 15 + 6
=> 2x - y - z = - 9 - - - (2)
Adding both the equations,
x + y + z = 87
+ 2x - y - z = - 9
______________
=> 3x = 78
=> x = 78 ÷ 3
=> x = 26
Again, according to the second condition,
2x = y + 6
=> 2 × 26 = y + 6
=> 52 = y + 6
=> y = 52 - 6
=> y = 46
Again, according to the second condition,
2x = z - 15
=> 2 × 26 = z - 15
=> 52 = z - 15
=> z = 52 + 15
=> z = 67
Hence, the numbers are 26, 46 & 67.
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