Find the number whose one-fifth part increased by 4 is equal to its one-fourth part diminished by 10.
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find the number whose one fifth part increased by 4 is equal to its one fourth part diminished by 10
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A number whose fifth part increased by 4 is equal to its fourth part reduced by 10. Find the number.
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Let the number be x. Then,
5
x
+4=
4
x
−10
⇒14=
4
x
−
5
x
⇒14=
20
5x−4x
⇒14=
20
x
⇒x=280
Hence, the number is 280.
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