Advertisements
Advertisements
प्रश्न
Solve the following:
`m - (m - 1)/2 = 1 - (m - 2)/3`
Advertisements
उत्तर
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
संबंधित प्रश्न
The base of an isosceles triangle is `4/3` cm. The perimeter of the triangle is `4 2/15` cm. What is the length of either of the remaining equal sides?
Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.
Solve the following equation and check your result:
5x + 9 = 5 + 3x
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:
`x/2 - 1/4(x - 1/3) = 1/6(x + 1) + 1/12`
Solve the following:
`1/2(x + 1) + 1/3(x - 1) = 5/12(x - 2)`
Solve the following:
`(3t - 2)/3 + (2t + 3)/2 = t + 7/6`
Solve the following:
3(5x – 7) + 2(9x – 11) = 4(8x – 7) – 111
If `1/2` is subtracted from a number and the difference is multiplied by 4, the result is 5. What is the number?
