SOLUTION: FIND THE SUM OF TWO DIGIT NUMBERS WHICH BEING DIVIDED BY 4 LEAVE A REMAINDER OF 1.
(ANS-1210)
Algebra.Com
Question 866321: FIND THE SUM OF TWO DIGIT NUMBERS WHICH BEING DIVIDED BY 4 LEAVE A REMAINDER OF 1.
(ANS-1210)
Found 2 solutions by htmentor, MathLover1:
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
The sequence of numbers divisible by 4, with a remainder of 1 are 5,9,13,17,21,...
The general formula for the nth term of this sequence is a_n = 4n + 1
The sum of the first n terms of an arithmetic sequence, S_n = (n/2)*(a_1 + a_n)
n=24 gives the largest two digit number, 97.
S_24 = (24/2)(5+97) = 1224. But the two digit numbers start with 13, so we need to subtract 5+9=14 from this sum
Ans: 1210
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
the number is of the form by definition where is a natural number
first such 2 digit number is
last such 2 digit number is
this is an arithmetic progression with common difference
so, we have ,,,,,,,,,,,,,,,,,,,,
the sum is given by
is the number of terms, is the first number, is the common difference
RELATED QUESTIONS
list all the two-digit numbers which leave a remainder of 6 and when 171 is divided by... (answered by Fombitz)
find the greatest four digit number which on being divided by 6,12,18,24,and 30 leaves... (answered by Edwin McCravy)
The tens digits of a two digit number is 3 less than the units digit. If the number is... (answered by lwsshak3)
1. the sum of the digits f a two-digit number is 11. when the digits are reversed, the... (answered by stanbon,jsmallt9)
how many two digit prime numbers have a remainder of 2 when divided by... (answered by solver91311)
the units digit of a two-digit number is 3 less than its tens digit. if the number is... (answered by Edwin McCravy)
Find the quadratic which has a remainder of -6 when divided by x-1,
a remainder of -4... (answered by ankor@dixie-net.com,Edwin McCravy)
Find the smallest possible integer which, when divided by 3 has a remainder of 1, when... (answered by richard1234,Edwin McCravy)
when a two digit number is divided by the sum of its digits the quotient is 8. of the... (answered by ikleyn)