A rational number is such that when you multiply it by 5/2 and add 2/3 to the product you get -7/12
. What is the number ?
Answers
Answered by
0
Answer:
Step-by-step explanation:
Let the rational number be x
So acc to que
X×5/2+2/3=-7/2
5x/2+2/3=-7/2
Adding
15x+4/6=-7/2
Cross multiplication
180x+48=-42
180x=-42-48
180x=-90
X=-1/2
Hence the rational number is -1/2
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Answered by
0
Let the rational be x.
According to the question,
x × (5/2) + 2/3 = -7/12
⇒ 5x/2 + 2/3 = -7/12
⇒ 5x/2 = -7/12 – 2/3
⇒ 5x/2 = (-7- 8)/12
⇒ 5x/2 = -15/12
⇒ 5x/2 = -5/4
⇒ x = (-5/4) × (2/5)
⇒ x = – 10/20
⇒ x = -½
Therefore, the rational number is -½.
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