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If 6x - 10y = 10 and x / (x + y) = 5/7, then (x - y) = ?
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- 6
- 8
- 12
- 3
- None of the above
Correct Option: D
Given, 6x - 10y = 10 ..........(i)
and x/(x + y) = 5/7
⇒ 7x = 5x + 5y
⇒ 2x - 5y = 0 ...(ii)
On multiplying Eq. (ii) by 2 and subtracting from Ed.(i), we get
6x - 10y = 10
4x - 10y = 0
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2x = 10
∴ x = 5
Putting the value of x in Eq. (i), we get
30 - 10y = 10
⇒ 10y = 20
⇒ y = 2
∴ (x - y) = 5 - 2 = 3
