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Find a number which when increased by 10% becomes 55

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Answer:

50

Explanation:

First, we need to write this as an equation.

1. the number is x.

2. the value of 10% is 10/100 = 1/10x

3. we can write this as x + 1/10x = 55

4. since the denominator of the fraction on the LHS is 10, we can simplify to 10/10x +1/10x=55.

5. 11/10x=55

6. Multiply by 10 on both sides to get rid of the denominator.

10 * 11/10x = 55 *10

11x = 550

7. Divide both sides by 11 to get the answer.

x = 50

The number is 50.

Hope this helps!

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