the denominator of a rational number is 4 more than its numerator . if the numerator is increased by 4 and denominator by 6 the rational number becomes 3/5 . the rational number is
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Photosynthesis is the process by which plants use sunlight, water, and carbon dioxide to create oxygen and energy in the form of sugar.
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Step-by-step explanation:
Let the numerator of the rational number be x.
Then, the denominator of the rational number =x+4
It is given that the numerator is increased by 2 and the denominator is increased by 3 to get the new rational number
4
3
.
According to the given condition,
(x+4)+3
x+2
=
4
3
By cross multiplying, we get
4(x+2)=3(x+7)
⟹4x+8=3x+21
⟹4x−3x=21−8 ....[Transposing 3x to LHS and 8 to RHS]
or x=13
Therefore, numerator of the rational number =13 and denominator =13+4=17.
Hence the original rational number is
17
13
.
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