Answer:
larger number is 20
Step-by-step explanation:
Let the larger number be x
And smaller number be y.
Then,
x + y = 15 {Sum of two numbers is 15}
And
2x - 4y = 60 (four times the smaller number is 60 less than the twice of larger number )
So we get two equations as :
x + y = 15
2x - 4y = 60
On solving above two equations we get:
Plug x = 15 - y in second equation
we get, 2 (15 - y) - 4y = 60
or 30 - 2y - 4y = 60
or - 6y = 60 - 30
or y = -30/6 = -5
So we get y = -5 and x = 15 - (-5) = 20
Hence the larger number is 20
