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The number of times the digit 5 will be written while listing

Question

The number of times the digit $5$ will be written while listing the integers from $1$ to $1000$ is $x yz$ then the value of $(x + y + z)$ is equal to

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Daniel Discussed

The number of times the digit

5

will be written while listing the integers from

1

1000

x yz

then the value of

(x + y + z)

is equal to

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

1 + 9 + 8 + 1 + 9 \times 9 + 8 \times 9 + 9 + 9 + 8 + 1

\Rightarrow 271 t im es

∴ x yz = 271

∴ x = 2; y = 7; z = 1

∴ x + y + z = 2 + 7 + 1

x + y + z = 10

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Question Text	The number of times the digit $5$ will be written while listing the integers from $1$ to $1000$ is $x yz$ then the value of $(x + y + z)$ is equal to
Answer Type	Text solution:1
Upvotes	150