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How many two digit natural number is divisible by 7?

Posted by Shubham Yadav 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

Two digit numbers which are divisible by 7 are 14,21,28,.....98.
It forms an A.P.
{tex}a = 14, d = 7, a_n = 98{/tex}
{tex}a_n = a + (n - 1)d{/tex}
{tex}98 = 14 + (n - 1)7{/tex}
{tex}98 -14 = 7n - 7{/tex}
{tex}84 + 7 = 7n{/tex}
or, {tex}7n = 91{/tex}
or, {tex}n = 13{/tex}

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CBSE > Class 10 > Mathematics