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Solve: m - (m - 1)/2 = 1 - (m - 2)/3

Solution:

Given, the equation is m - (m - 1)/2 = 1 - (m - 2)/3

We have to solve the equation

On solving the equation for m,

m - m/2 + 1/2 = 1 - m/3 + 2/3

m(1 - 1/2) + 1/2 = (3 + 2)/3 - m/3

m/2 + 1/2 = 5/3 - m/3

By transposing,

m/2 + m/3 = 5/3 - 1/2

m(1/2 + 1/3) = (10 - 3)/6

m(3 + 2)/6 = 7/6

5m/6 = 7/6

5m = 7

m = 7/5

Therefore, the value of m is 7/5

✦ Try This: Solve: 2m - (2m - 4)/2 = 3 - (m - 12)/2

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2

NCERT Exemplar Class 8 Maths Chapter 4 Problem 75

Summary:

On solving the equation m - (m - 1)/2 = 1 - (m - 2)/3, we get m = 7/5

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