Advertisements
Advertisements
Question
Solve the following:
`m - (m - 1)/2 = 1 - (m - 2)/3`
Advertisements
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)/3 + 1 = (7x)/15 + 3`
Solve the following equation and check your result:
`3m = 5m - 8/5`
If 8x – 3 = 25 + 17x, then x is ______.
On subtracting 8 from x, the result is 2. The value of x is ______.
Solve the following:
`8/x = 5/(x - 1)`
Solve the following:
`3x - (x - 2)/3 = 4 - (x - 1)/4`
Solve the following:
0.25(4x – 5) = 0.75x + 8
Find a number whose fifth part increased by 30 is equal to its fourth part decreased by 30.
