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Split two hundred seven into three …

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Split two hundred seven into three parts such that these are in A.P. and the product of the two smaller part is 4623

Posted by Zeba Fatima 6 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 3 months ago

69, 67, 71

Let ( a - d ) , a , ( a + d ) are three parts are in A.p

according to the problem given ,

a - d + a + a + d = 207

3a = 207

a = 207 / 3

a = 69

product of two smaller parts = 4623

( a - d ) × a = 4623

( 69 - d ) × 69 = 4623

69 - d = 4623/69

69 - d = 1541/23

69 - d = 67

-d = 67 - 69

- d = - 2

d = 2

Therefore ,

required three parts are ,

a - d = 69 - 2 = 67

a = 69

a + d = 69 + 2 = 71

1Thank You

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