if from twice the greater of two numbers 16 is subtracted the result is half the other number .if from half the greater number 1 is subtracted ,the result is half the other number .what are the numbers
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Let the greater number be a and smaller number be b. So -
1) Twice the greater number is 2a.
2) Subtracting 16 from 2a => 2a-16.
3) This is equal to half the smaller number. =>
Multiply both sides by 2, we get -
b = 4a - 32 -------------------(1)
1) Half the greater number is .
2)Subtracting 1 from a/2 => .
3)This is equal to half the smaller number. =>.
Multiply both sides by 2, we get -
=> b = a -2 --------------------(2)
Subtract (2) from (1),we get
3a - 30 = 0
=> a = 10
Putting a in (1), we get -
b = 4.a - 32 = 4.10 -32 = 8
=> (a,b) = 10, 8
Bigger number is 10, smaller number is 8.
Step-by-step explanation:
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