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Find two positive consecutive odd integers whose products is 99.

User Dvjanm
by
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1 Answer

5 votes

Answer:

9,11

Explanation:

let the numbers be x, x+2 (since consecutive odd integers have a difference of 2)

therefore;

x(x+2)= 99

x²+2x=99

I usually solve the sum like this,

we need to find the nearest square number ( number smaller than the number on the R.H.S)

here, it is 81, whose square root is 9. therefore the solution is 9

verification:

(9)²+2*9=99

81+18=99

99=99

hence, 9 is the solution. therefore the positive odd consecutive integers are

x=9

x+2=9+2= 11

verification:

9*11=99

99=99

L.H.S=R.H.S

User Jack Gajanan
by
6.3k points