Question

May you please help me with this question

Answer 1

If larger is x, smaller is 15 - x
Four times the smaller number is 60 less than twice the larger number.
4(15 – x) = 2x - 60
120 = 6x
Larger, x = 20,
Smaller was - 5.

Answer 2

larger number is 20

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