class="wp-custom-logo wp-embed-responsive wp-theme-astra monomath-custom-page ally-default esm-default ast-desktop ast-separate-container ast-two-container ast-no-sidebar astra-4.12.7 ast-inherit-site-logo-transparent ast-hfb-header"
← Back to CBSE-10

Pair of Linear Equations in Two Variables - Previous Year Questions

⏱️ Est. Revision Time: 15 Mins
🔍
📅 Year 2024
Q1
CBSE Board Exam 20244 Marks
5 pencils and 7 pens cost ₹50; 7 pencils and 5 pens cost ₹46. Find cost of 1 pencil and 1 pen.
▶ Show Detailed Solution
5x + 7y = 50, 7x + 5y = 46.
Sum: 12x + 12y = 96 ⇒ x + y = 8.
Diff: −2x + 2y = 4 ⇒ y − x = 2.
Solving: Pencil = ₹3, Pen = ₹5