Processing math: 45%
Home / Aptitude Tests / Mathematics / If \(5^{(x + 2y)} = ...
If 5(x+2y)=5 and 4(x+3y)=16, find \(3^...

If 5(x+2y)=5 and 4(x+3y)=16, find 3(x+y).

A.

7

B.

1

C.

3

D.

27

Correct answer is B

5(x+2y)=5

∴ x + 2y = 1.....(i)

4(x+3y)=16=42

x + 3y = 2 .....(ii)

x + 2y = 1.....(i)

x + 3y = 2......(ii)

y = 1

Substitute y = 1 into equation (i) 

x+2y=1x+2(1)=1

x+2=1x=1

3^{0} = 1