Get 2 FREE Instant-Explanations on Filo with code FILOAPP

If eleven A.M.'s are inserted between 28 and 10, then find the

Question

If eleven A.M.'s are inserted between $28$ and $10$ , then find the number of integral A.M.'s.

Views: 778 students

Found 2 tutors discussing this question

Sebastian Discussed

If eleven A.M.'s are inserted between

28

and

10

, then find the number of integral A.M.'s.

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

After inserting eleven A.M.s the new series would have a common diffference

d = \frac{28 - 10}{11 + 1} = \frac{3}{2}

Hence every even A.M. would be integral as it would be of the form

10 + 2 r \times \frac{3}{2}

where

r

is an integer

= 10 + 3 r

= 13, 16, 19, 22, 25

Hence,

5

integral A.M.'s.

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our maths tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	If eleven A.M.'s are inserted between $28$ and $10$ , then find the number of integral A.M.'s.
Answer Type	Text solution:1
Upvotes	150