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2 years ago

10

Find the sum of all 3 digit whole numbers that arw divisible by 13 ?

1 answer:

GuDViN [60]2 years ago

7 0

We have an arithmetic sequence with

<span>a0 = 1st 3-digit number divisible by 13 </span>
<span>a0 = 104 </span>
<span>d = 13 (why?) </span>
<span>last term is largest divisible by 13 = 988 </span>
<span>how many terms? (988-104)/13 + 1 = 69 </span>

<span>S = 69/2(104+988) = 37674</span>

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$\text{Let the number of boys be x and number of girls be y.}\\
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\text{and there are total 416 students enrolled in the course. so we have}\\
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x+y=416 \ \ \ \ \ \ \ \ \ \ ......(i)\\
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\text{substitute this value of y in (i), we get}\\
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