If (x/4) + (y/3) = 10/24 and (x/2) + y = 1, then the value of x + y is

Given, (x/4) + (y/3) = 10/24
⇒ (3x + 4y)/12 = 10/24
∴ 3x + 4y = 5 ...(i)
and (x/2) + y = 1
x + 2y = 2 ...(ii)
On multiplying Eq. (ii) by 2 and subtracting from Eq. (i).
3x + 4y = 5
2x + 4y = 4
- - -
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x = 1
On putting the value of x in Eq. (ii), we get
x + 2y = 2
⇒ 1 + 2y = 2
⇒ y = 1/2
∴ x + y = 1 + 1/2 = 3/2