Question

a rational number is such that when you multiply it by 5 by 2 and add 2 by 3 to the product you get 7 by 12 what is the number

Answer 1

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?

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5 ANSWERS



Harish Ganesan, Software Engineer Trainee at e-con Systems India (2017-present)

Answered Jun 3, 2017

5x2+23=−7125x2+23=−712

5x2=−712−23=−15125x2=−712−23=−1512

⇒x=−12⇒x=−12

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Akhilesh, B.Tech Computer Science, YMCA University of Science and Technology

Answered Jun 3, 2017

5x/2 +2/3 =-7/12

5x/2=-7/12–8/12=-15/12=-5/4 // (2/3=8/12)

x=-1/2

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G Rishi Subramaniyam, former Asst Commdt at Central Reserve Police Force

Answered Jun 3, 2017

Rational no. Is of form p/q
Let us take p/q =x
As per question,

x*5/2 + 2/3= -7/12
 Solving L.H.S by taking LCM we get

x* 5/2 + 2/3 = (15x + 4) /6
Now,
Solving both sides
(15x + 4)/6 = -7/12
30x +8 = -7
30x = -15
x = -1/2

Hence, x=-1/2 therefore,
p/q = -1/2 Ans

Answer 2

Answer:

Let x be the rational number.

5/2 × ( 3 / 3 = 7 / 12 )

5/2 * = 7 / 12 -1/3

5/2 = -7 - ( 2 - 4 ) / 12

5/2 × - 15 / 2

Multiplying both sides by ( 2/15 )

x = - 15 / 12 × 2 / 5 = - 1/2

.•. Rational number = - 1/2