Question : If $4x+5y=83$ and $3x:2y=21:22$, then $(y-x)$ equals:
Option 1: 3
Option 2: 4
Option 3: 7
Option 4: 11
Answer (1)
4th Jan, 2024
Correct Answer: 4
Solution :
Given: $4x+5y=83$ and $3x:2y=21:22$
In comparison, find the values of $x$ and $y$ respectively.
$3x = 21k$, $2y=22k$
So, the value of $x=7k$ and $y=11k$ respectively.
Now, $4×7k+5×11k=83$ ⇒ $k=1$
The value of the expression $(y-x)$ is given as,
$(11k-7k)=4k = 4$
Hence, the correct answer is 4.
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