Question

Divide 216 into three parts such that all parts are in A.P and product of two smaller parts will be 5040



pls help me

Answer 1

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Answer 2

The three parts are 70, 72 and 74.

Step-by-step explanation:

We need to Divide 216 into three parts such that all parts are in A.P and product of two smaller parts will be 5040.

Let the three numbers are a-d, a, a+d.

Sum of these three numbers is 216.

$(a-d)+a+(a+d)=216$

$3a=216$

$a=72$

Product of two smaller parts will be 5040.

$(a-d)a=5040$

Substitute a=72 in the above equation.

$(72-d)72=5040$

Divide both sides by 72.

$(72-d)=70$

$72-70=d$

$2=d$

We have a=72 and d=2, so the three numbers are

$a-d=72-2=70$

$a=72$

$a+d=72+2=74$

Therefore, the three parts are 70, 72 and 74.

#Learn more

₹ 720 को A, B, C, D, E के बीच में बांटा जाना है। उनके द्वारा प्राप्त धनराशि आरोही क्रम में और समांतर श्रेणी में थी। E को A से ₹40 अधिक प्राप्त हुए। B को कितनी धनराशि प्राप्त हुई ?​

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