Home
Class 12
MATHS
If four numbers. in decreasing A.P, a, b...

If four numbers. in decreasing A.P, a, b, c, d have their sum as 20 & sum of squares is 120 then a-b+c-d is

Text Solution

Verified by Experts

The correct Answer is:
4
Decreasing A.P.`" "therefore" "agt b gt c gt d`
`"Let the Nos. are "A+3D, A+D,A-D,A-3D`
`rArr 4A=20" "therefore A=5`
`"also "(A+3D)^(2)+(A+D)^(2)+(A-D)^(2)+(A-3D)^(2)=120`
`rArr" "D=pm1" "therefore" "a=8, b=6, c=4, d=2" "therefore" "(a+c)-(b+d)=12-8=4`
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 9

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos

  • MOCK TEST 8

    VMC MODULES ENGLISH|Exercise MATHMATICS (SECTION 2)|5 Videos

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|50 Videos

Similar Questions

Explore conceptually related problems

Three number are in A.P. such that their sum is 24 and sum of their squares is 224 . The number are

Find four number in an A.P. whose sum is 20 and sum of their squares is 120.

Find four numbers in A.P. whose sum is 20 and the sum of whose squares is 120.

Find the four numbers in A.P. whose sum is 20 and the sum of whose squares is 120.

Find the four numbers in A.P. whose sum is 20 and the sum of whose squares is 120.

If four numbers in A.P. are such that their sum is 50 and the greatest number is 4 times the least, then the numbers are (a) 5, 10, 15, 20 (b) 4, 10, 16, 22 (c) 3, 7, 11, 15 (d) none of these

Find four numbers in A.P. whose sum is 28 and the sum of whose squares is 216.

The sum of four numbers in A.P. is 28 and the sum of their squares is 216. Find the number's.

The sum of four numbers in A.P. is 28 and the sum of their squares is 216. Find the number's.

The sum of three numbers in A.P. is 27 and the sum of their squares is 275 . Find the numbers .