The sum of all two digit numbers which, when | vedclass

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Question

(c) The given numbers are $13, 17, ..... 97.$

This is an $AP$ with first term $13$ and common difference $4$.

Let the number of terms be $n$.

Vedclass · Accepted Answer

$1210$

Vedclass · Answer

(c) The given numbers are $13, 17, ..... 97.$

This is an $AP$ with first term $13$ and common difference $4$.

Let the number of terms be $n$.

Then $97 = 13 + (n - 1)4$

$ \Rightarrow $ $4n = 88$

$ \Rightarrow $ $n = 22$

Therefore the sum of the numbers

$ = \frac{{22}}{2}[13 + 97] = 11(110) = 1210$.

The sum of all two digit numbers which, when divided by $4$, yield unity as a remainder is

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