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If the Numerator of a Certain Fraction Is Increased by 4

question 120

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If the numerator of a certain fraction is increased by 4 and the denominator is decreased by 2, the resulting fraction is 85\frac { 8 } { 5 } . However, if the numerator of the original fraction is doubled and the denominator is increased by 7, the resulting fraction is 47\frac { 4 } { 7 } . Find the original fraction.


Definitions:

Psychosexual Development

A Freudian theory that proposes individuals pass through a series of stages centered on erogenous zones during development, shaping personality.

Id, Ego, and Superego

Components of the human psyche in Freudian theory, with the id representing instinctual desires, the ego mediating reality, and the superego embodying moral standards.

Libido

A term used in psychoanalytic theory to denote the sexual drive or desire, often presented as an energy or force.

Psychic Energy

In psychoanalytic theory, a concept referring to the energy within the psyche that fuels human thoughts and behaviors.

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