# If 3 X + 7 Y = 75, 5 X – 5 Y = 25, then the value of (X + Y) =

(a) 17

(b) 16

(c) 18

(d) 15

**Answer: (a) 17 **

**Solution:-**

3 X + 7 Y = 75 ……………… (1)

5 X – 5 Y = 25 …………………..(2)

Equation (2) divide by 5 and multiply by 7,

Then, 7 X – 7 Y = 35 …………….. (3)

Add equation (1) & (3) ,

3 X + 7 Y + 7 X – 7 Y = 75 + 35

10 X = 110

X = 110/10

X = 11

Put the value of X = 11, in equation (1),

Then, 3 x 11 + 7 Y = 75

7 Y = 75 – 33

7 Y = 42

Y = 42/7

Y = 6

So, the value of X + Y = 11 + 6

= 17

Hence, the correct answer is option (a) 17.