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If a number is multiplied by three-fourths of itself, the result is 10700. What is the number?

If a number is multiplied by three-fourths of itself, the result is 10700. What is the number?

Explanation

Let "x" be the number.

Three-fourths of the number is (3/4)x.

When we multiply the number by three-fourths of itself,

we get: x * (3/4)x = 10700.

This simplifies to (3/4)x² = 10700.

Solving for x, we get x = 70.