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If 27 is splits into three number that are in ap and product of first and last number is 56 find the numbers.

Posted by Aqsa Azmi 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Ram Kushwah 6 years, 11 months ago

Let the numbers be a-d,d,a+d

Then a-d+d+a+d=27

3a=27, a=9

Now product of fist and last term

=(a-d)(a+d)=56

{tex}\begin{array}{l}a^2-d^2=56\\81-d^2=56\\d^2=81-56=25\\d=5\\so\;the\;nubers\;are\;4,9,14\\\end{array}{/tex}

1Thank You

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