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

Mathematics

1 answer:

Ilya [14]4 years ago

3 0

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

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