A certain whole number has the property that appending a digit 5 has the effect of adding 3074. What is the original number?

dizxindlert7

dizxindlert7

Answered question

2022-09-17

A certain whole number has the property that appending a digit 5 has the effect of adding 3074. What is the original number?

Answer & Explanation

Everett Mclaughlin

Everett Mclaughlin

Beginner2022-09-18Added 16 answers

If the original number is n, then the number formed by tacking a 5 on the end is 10n+5
So:
10 n + 5 = n + 3074
Subtract n+5 from both sides to get:
9 n = 3069
Divide both sides by 9 to get:
n = 341

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