Question

if 45 is subtracted from twice the greater of two number it result in the other number if 21 is subtracted from twice the smaller number it result in the greater number find the number

Answer 1

let x=greater number
let y=smaller number
2x-45=y
2y-21=x
y=2x-45
2y=x+21
..
2y=4x-90
2y=x+21
subtract
3x-111=0
3x=111
x=37
y=2x-45
y=74-45
y=29
..
greater number=37
smaller number=29

Answer 2

The numbers are 27.75 and 10.5

Step-by-step explanation:

Let the larger number be x

Let the smallest number be y

We are given that 45 is subtracted from twice the greater of two number it result in the other number

So, 2x-45=y

We are given that  21 is subtracted from twice the smaller number it result in the greater number

So, 2y-21=x

Substitute the value of y from 1 in 2

2(2x-45)-21=x

4x-90-21=x

4x=111

$x=\frac{111}{4}$

x=27.75

2x-45=y

2(27.75)-45=y

10.5=y

Hence The numbers are 27.75 and 10.5

#Learn more:

If from twice the greater of the two numbers 20 subtracted the result is the other number if from twice the smaller number 5 is subtracted the result is the first number what is the largest number

https://brainly.in/question/3616613