수학동아 - 폴리매스

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함께 풀고 싶은 문제

나도 수학쌤 문장제 문제를 변형해 문제를 내는 곳입니다.

[문장제 문제&개념응용] 1o8 라임 정수문제

우럭 2021.01.21 09:59 조회 388

문제 푼 사람 0명

페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

0 < a < b < c < d < e를 만족하는

네개의 정수 a, b, c, d, e가 존재한다.

이 때, b - a = c - b의 등식과, c² = bd의 등식,

1/d = 1/c + 1/e의 세 개의 등식이성립한다고 하고,

90 <= d - a <= 100 이라고 하면, 가능한 모든 e의 합을 구하시오.

[풀이 필수, 코딩풀이 금지]

이전글 자릿수가 그 자체의 개수인 수

다음글 짧은 문제

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원파 Lv.9 2021.01.21 10:17 비밀댓글

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