Question

The difference between two numbers is 15 .four times the smaller plus six times the larger is 270. find the larger number

Answer 1

X is bigger than Y 
X-Y=15
6X+4Y=270 
multiply first equation by 4 
4X-4Y=60 
and add to 2nd equation 
10X=330 
X=33 Y=18 
hope it's help you

Answer 2

x+y= 15
4x+6y= 270
by elimination method
[(x+y)=15]×4

4x+6y= 270
now , 4x+4y=60
4x+6y=270
now, 2y= 210
y = 105
x = -90 ans.