Find two consecutive odd integers such that 2/5th of the smaller exceeds 2/9th of the greater by 4.Find the number??
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Let the two consecutive odd integers be 2n-1 and 2n+1 for any value n.
Then
2*(2n-1)/5 - 2*(2n+1)/9 = 4
Multiplying both sides by 45, we get
18*(2n-1) - 10*(2n+1) = 4*45
36n-18-20n-10 = 180
16n-28 = 180
or 16n = 208.
Therefore n = 208/16 = 13.
Thus, the two numbers are 2*13-1 = 25 and 2*13+1 = 27.
Then
2*(2n-1)/5 - 2*(2n+1)/9 = 4
Multiplying both sides by 45, we get
18*(2n-1) - 10*(2n+1) = 4*45
36n-18-20n-10 = 180
16n-28 = 180
or 16n = 208.
Therefore n = 208/16 = 13.
Thus, the two numbers are 2*13-1 = 25 and 2*13+1 = 27.
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