Chapter: Linear Equations in Two Variables· Mathematics Part 1 (Algebra)

Asked in: March 2026 board paperThere are some students in group A and group B. If one student goes from group A to group B, then the number of students in both groups is same. But one student goes from group B to group A, then the number of students…

Asked in: March 2026 board paper

There are some students in group A and group B. If one student goes from group A to group B, then the number of students in both groups is same. But one student goes from group B to group A, then the number of students in group A becomes twice of group B. Find the number of students in each group.

Doubtly Asked 29 Oct 2026 Practice test ssc 10th Save WhatsApp Report

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Answer: Group A has 7 students and group B has 5 students

Let group A have \(x\) students and group B have \(y\) students.

Condition 1: \(x - 1 = y + 1 \Rightarrow x - y = 2\) …(I)

Condition 2: \(x + 1 = 2(y - 1) \Rightarrow x - 2y = -3\) …(II)

(I) − (II): \(y = 5\). From (I): \(x = 7\).

Check: A→B gives 6 and 6 ✓; B→A gives 8 and 4, and 8 = 2 × 4 ✓.

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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Asked in: March 2026 board paperThere are some students in group A and group B. If one student goes from group A to group B, then the number of students in both groups is same. But one student goes from group B to group A, then the number of students…

1 answer

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