Question

Age of Sohan is two years more than thrice the age of Sharad". If Sohan's age and Sharad's age be represented by < and y respectively, then answer the following questions. 24. If the linear equation for the given statement is written in the form of ax + by+ c = 0 where a > 0, then product of the value of a, b and c equals [1] 6 (2) -6 (3) 3 (4) -2
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Answer 1

Ans:

2) -6

Step-by-step explanation:

let sharad's age=x

then sohan's age =3x+2=y(according to the question)

writing the equation in ax+by+c form we get

=>3x+(-y)+2=0

=>3x+(-1y)+2=0

=>3x-1y+2=0

where a=3, b= -1 , c=2

so product of a, b, c =3×(-1)×2= -3×2 or 3 × -2= -6

therefore ans is option (2) -6 .

please mark as brainliest.

Answer 2

Given:

Age of Sohan is two years more than thrice the age of Sharad

To find:

product of a, b, c

Solution:

Let sharad's age$=x$  and then according to the question sohan's age will be$,3x+2=y$.

Write the equation in $ax+by+c$ form.

$\[\begin{array}{l} \Rightarrow 3x + \left( { - y} \right) + 2 = 0\\ \Rightarrow 3x + \left( { - 1y} \right) + 2 = 0\\ \Rightarrow 3x - 1y + 2 = 0\end{array}\]$

Understand that, $a=3, b= -1 , c=2$

Find the product of a, b, c

$\[\begin{array}{l} = 3 \times \left( { - 1} \right) \times 2\\ = - 3 \times 2\,or\,3 \times \left( { - 2} \right)\\ = - 6\end{array}\]$

Therefore, the product value of a, b, c is $-6$.

Hence, the correct answer is option (2). i.e., $-6$.