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Age-Gap Algebra

 Age-Gap Algebra
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 Age-Gap Algebra
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Age-Gap Algebra
 Age-Gap Algebra
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AgeGapAlgebra
 Age-Gap Algebra
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One common criterion for compatibility between prospective marriage or romantic partners is the difference between their ages. This trope is when a specific formula or calculation is proposed to determine either the "ideal" age gap or the maximum allowable age gap before it becomes "creepy".
Traditionally, a man was expected to be established in his career and lifestyle before marriage, whereas a woman usually transferred directly from her father's household to her husband's within a couple of years of reaching adulthood, so it was considered ideal for the man to be at least somewhat older. As society changed, this became less and less the case, and in modern works a very small age gap is often considered ideal, with a maximum allowable (as opposed to "ideal") age gap proposed, and often applied equally in either direction (older man vs. older woman).
One commonly-applied formula is the "half your age plus seven" rule, in which the older partner's age is divided by two and then increased by seven to reach either the ideal or minimum allowable age for a romantic partner. This has the advantage of allowing for a larger age gap the older the partners get; the four-year age gap between a 14-year-old and an 18-year-old is significant (and not allowed by this rule), but the same age gap between an 86-year-old and a 90-year-old isn't worth comment. The rule would theoretically create a paradox for people under 14 because the younger partner would have to be older than the older partner, but 14 is about the youngest you can be and make anything even remotely resembling adultish decisions respecting relationships anyway, so this rule works out rather well. In its earliest appearances, this rule is often cited as having French origins, although this citation always seems to appear in English-language (British or American) sources, leaving its true origin mysterious.
Another, somewhat vaguer metric often cited is declaring an age gap creepy when a partner is "old enough to be your mother/father," carrying with it as it does implications of symbolic Parental Incest or Wife Husbandry. This would place the maximum allowable age gap at a static fifteen to twenty years or so, depending on if the speaker is referring to the physical ability to have children or the socially acceptable age.
Compare Age-Gap Romance, May–December Romance, Comedic Lolicon, Likes Older Women, Likes Older Men, and Wife Husbandry.
Examples in fiction:
 Age-Gap Algebra
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 Age-Gap Algebra
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