8. A number whose fifth part is increased by 5 is equal to its fourth part diminished by 5. find the number

Question

Mathematics

Kelvin Cantrell

10 June, 16:44

8. A number whose fifth part is increased by 5 is equal to its fourth part diminished by 5. find the number

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Answers (1)

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Uriel · Answer 1

8. A number whose fifth part is increased by 5 is equal to its fourth part diminished by 5. find the number

the number = X

fifth part = X/5

fifth part is increased by 5 = X/5 + 5

fourth part = X/4

fourth part diminished by 5 = X/4 - 5

fifth part is increased by 5 is equal to its fourth part diminished by 5

X/5 + 5 = X/4 - 5

X/5 - X/4 = - 5 - 5

(4X - 5X) / 20 = - 10

- X/20 = - 10

X = 200

Check:

X/5 + 5 = X/4 - 5

200/5 + 5 = 200/4 - 5

40 + 5 = 50 - 5

45 = 45