मराठी

Suppose Three Parts of 207 Are (A − D), a , (A + D) Such that , (A + D) >A > (A − D). - Mathematics

Advertisements
Advertisements

प्रश्न

Suppose three parts of 207 are (a − d), a , (a + d) such that , (a + d)  >a >  (a − d). 

थोडक्यात उत्तर
Advertisements

उत्तर

\[a - d + a + a + d = 207\]
\[ \Rightarrow 3a = 207\]
\[ \Rightarrow a = 69\]
\[Now, \left( a - d \right) \times a = 4623\]
\[ \Rightarrow 69\left( 69 - d \right) = 4623\]
\[ \Rightarrow \left( 69 - d \right) = 67\]
\[ \Rightarrow d = 2\]
\[\text{ Therefore, the three required parts are 67, 69 and 71}  .\]

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Arithmetic Progression - Exercise 5.5 [पृष्ठ ३०]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
पाठ 5 Arithmetic Progression
Exercise 5.5 | Q 10 | पृष्ठ ३०

संबंधित प्रश्‍न

If the sum of first 7 terms of an A.P. is 49 and that of its first 17 terms is 289, find the sum of first n terms of the A.P.


Find the sum of the following APs:

2, 7, 12, ..., to 10 terms.


In an AP: Given a = 5, d = 3, an = 50, find n and Sn.


Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.


200 logs are stacked in the following manner: 20 logs in the bottom row, 19 in the next row, 18 in the row next to it and so on. In how many rows are the 200 logs placed, and how many logs are in the top row?


Find the sum of the following arithmetic progressions 

`(x - y)^2,(x^2 + y^2), (x + y)^2,.... to n term`


If numbers n – 2, 4n – 1 and 5n + 2 are in A.P., find the value of n and its next two terms.


Find the 6th  term form the end of the AP 17, 14, 11, ……, (-40).


The 19th term of an AP is equal to 3 times its 6th term. If its 9th term is 19, find the AP. 


If the sum of first n terms is  (3n+  5n), find its common difference.


If the 9th term of an A.P. is zero then show that the 29th term is twice the 19th term?


There are 25 rows of seats in an auditorium. The first row is of 20 seats, the second of 22 seats, the third of 24 seats, and so on. How many chairs are there in the 21st row ?


If Sn denotes the sum of first n terms of an A.P., prove that S12 = 3(S8 − S4).

 

The number of terms of the A.P. 3, 7, 11, 15, ... to be taken so that the sum is 406 is


If the second term and the fourth term of an A.P. are 12 and 20 respectively, then find the sum of first 25 terms:


The sum of first n terms of the series a, 3a, 5a, …….. is ______.


Find the sum of the integers between 100 and 200 that are

  1. divisible by 9
  2. not divisible by 9

[Hint (ii) : These numbers will be : Total numbers – Total numbers divisible by 9]


If Sn denotes the sum of first n terms of an AP, prove that S12 = 3(S8 – S4)


The sum of all two digit numbers is ______.


k + 2, 2k + 7 and 4k + 12 are the first three terms of an A.P. The first term of this A.P. is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×