The numerator of a rational number is 8 less than its denominator. If the numerator is multiplied by 3 and 10 is added to the denominator, the new rational number is 21/25. Find the original rational number.
Answers
Step-by-step explanation:
Let the numerator of the rational number be x.
Then, the denominator of the rational number =x+3
According to the given condition,
New numerator =3x and new denominator =(x+3)+20=x+23
Given, x+233x=81
By cross multiplying, we get
8(3x)=x+23
⇒24x=x+23
⇒23x=23 ....[On Transposing]
or x=1
Therefore, numerator of the rational number =1 and denominator =1+3=4.
Hence, the original rational number is 41.
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Answer:
An atom is the smallest component of an element and the building blocks of all matter, characterized by sharing of the chemical properties of the element and a nucleus with neutrons, protons, and electrons.
What is an atom?
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