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Mathematics · 2024 · 5 marks
CBSE 2024 · Region 2 · Set 3 · Q35
(a) Using graphical method, solve the following system of equations: 3 x-2 y=10 and 5 x+3 y=4
(a)
Using graphical method, solve the following system of equations : $\displaystyle 3 x-2 y=10$ and $\displaystyle 5 x+3 y=4$
OR
(b)
If three times the greater of two numbers is divided by the smaller one, we get $\displaystyle 4$ as the quotient and $\displaystyle 3$ as the remainder. Also, if seven times the smaller number is divided by greater one, we get $\displaystyle 5$ as the quotient and $\displaystyle 1$ as the remainder. Find the numbers.
Marking-scheme solution
(a)
Solution is \(\displaystyle \mathrm{x}=2, \mathrm{y}=-2\)
OR
(b)
Let the smaller number be x and the greater number be y
\[\begin{aligned}
& 3 y=4 x+3 \ldots \text { (i) } \\
& 7 x=5 y+1 \ldots \text { (ii) }
\end{aligned}
\]
Solving (i) and (ii), we get
\[x=18, y=25
\]
∴ Smaller number is $\displaystyle 18$
and greater number is $\displaystyle 25$
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CBSE Class 10 Mathematics past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.