Split 207 into three parts such that these are in AP and the product of the two smaller parts is 4623
Solution:
Consider the three parts of the number 207 are (a - d), a and (a + d), which are in AP.
From the given condition,
Sum of these parts = 207
a - d + a + a + d = 207
3a = 207
Dividing both sides by 3
a = 69
It is given that,
Product of the two smaller parts = 4623
a(a -d) = 4623
Substituting the values
69 . (69 - d) = 4623
69 - d = 67
So we get
d = 69 - 67 = 2
First part = a - d = 69 - 2 = 67,
Second part = a = 69
Third part = n + d = 69 + 2 = 71
Therefore, the required three parts are 67, 69, 71.
✦ Try This: Split 108 into three parts such that these are in AP and the product of the two smaller parts is 3426
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 5
NCERT Exemplar Class 10 Maths Exercise 5.3 Problem 12
Split 207 into three parts such that these are in AP and the product of the two smaller parts is 4623
Summary:
By splitting 207 into three parts such that these are in AP and the product of the two smaller parts is 4623 we get 67, 69 and 71
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