Advertisements
Advertisements
Question
Solve the following:
`m - (m - 1)/2 = 1 - (m - 2)/3`
Solution
Given, `m - (m - 1)/2 = 1 - (m - 2)/3`
⇒ `(2m - (m - 1))/2 = (3 - (m - 2))/3`
⇒ 3(2m – m + 1) = 2(3 – m + 2) ...[By cross-multiplication]
⇒ 3(m + 1) = 2(5 – m)
⇒ 3m + 3 = 10 – 2m
⇒ 3m + 2m = 10 – 3 ...[Transposing –2m to LHS and 3 to RHS]
⇒ 5m = 7
⇒ `(5m)/5 = 7/5` ...[Dividing both sides by 5]
∴ `m = 7/5`
APPEARS IN
RELATED QUESTIONS
Solve the following equation and check your result:
4z + 3 = 6 + 2z
Solve the following equation and check your result:
5x + 9 = 5 + 3x
Solve the following equation and check your result:
2x − 1 = 14 − x
Solve the following equation and check your result:
`3m = 5m - 8/5`
Solve the following:
`(y - (4 - 3y))/(2y - (3 + 4y)) = 1/5`
Solve the following:
`x/5 = (x - 1)/6`
Solve the following:
4t – 3 – (3t + 1) = 5t – 4
Solve the following:
`(3x + 2)/(2x - 3) = - 3/4`
Solve the following:
3(5x – 7) + 2(9x – 11) = 4(8x – 7) – 111
Find a number whose fifth part increased by 30 is equal to its fourth part decreased by 30.
