wiz-icon
MyQuestionIcon
MyQuestionIcon
4
You visited us 4 times! Enjoying our articles? Unlock Full Access!
Question

Question 12
Split 207 into three parts such that these are in AP and the product of the two smaller parts is 4623.

Open in App
Solution

Let the three parts of the number 207 be (a - d), a and (a + d), which are in AP.
Now, by given condition,
Sum of these parts = 207
a – d + a +a +d = 207
3a = 207
So, a = 69
Given that, product of the two smaller parts = 4623
a (a - d) = 4623
69 (69 - d) = 4623
69 - d = 67
d = 69 - 67 = 2
So, the first part = a – d = 69 – 2 = 67,
Second part = a = 69
Third part = a + d = 69 + 2 = 71

flag
Suggest Corrections
thumbs-up
97
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon