The total monthly salary of two employees, A and B, is Rs. 70,000, and the difference between their salaries is Rs. 8,000. Find the individual salaries of A and B.

hard 3 marks Class 8 · Mathematics · Linear Equations in One Variable

Answer

A = R s ., 39, 000,; B = R s ., 31, 000

The correct answer is $A = R s ., 39, 000,; B = R s ., 31, 000$ — Substitute $A$ into $A + B = 70, 000$ to find $B$ : $39, 000 + B = 70, 000$ gives $B = 31, 000$ .

Step-by-step solution

Let $A$ and $B$ be the salaries of the two employees. Write the given conditions as a system of equations: 1. $A + B = 70, 000$ 2. $A - B = 8, 000$ .
Add the two equations to eliminate $B$ : $(A + B) + (A - B) = 70, 000 + 8, 000$ gives $2 A = 78, 000$ .
Divide by 2 to solve for $A$ : $A = 78, 000/2 = 39, 000$ .
Substitute $A$ into $A + B = 70, 000$ to find $B$ : $39, 000 + B = 70, 000$ gives $B = 31, 000$ .

Common mistake: Subtracting instead of adding equations

Concept tested: Solving simultaneous linear equations

Published 1 October 2026 · How this solution was prepared and checked

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