Question

A number of twice is another number. When the larger is subtracted from 50, the result is 2 more than when the smaller is subtracted from 40. Find the numbers.

Answer 1

Let larger no be x and smaller no be y 
x =2*y
when the larger is subtracted from 50, the result is 2 more than the smaller is subtracted from 40.
so 50-x= (40-y)+2
put x=2y in above equation
50-(2y) =40-y+2
50-2y= 42-y
move -2y to the right
50 = 42-y+2y


50= 42+y
move 42 to the left
50-42 =y
8=y
so , y= 8
x = 2*8
=16
x= 16 
larger no is 16 & smaller no is 8

Answer 2

Questioñ:

A number is twice another number. When the larger is subtracted from 50 , the result is 2 more than when the smaller is subtracted from 40.

Find the numbers.

Solutioñ:

Given

• A number is twice another number.

Let,

• The smaller number be x.
• The larger number be 2x.

Ñow , applying condition

50 - 2x = (40 - x )+ 2

-2x + x = 42 - 50

- x = -8

x = 8

Ñow we know

• The smaller number is 8

Therefore,

The bigger number is 2x= 2(8) = 16