Question

Twice a number added to a smaller number is 5. The difference of 5 times the smaller number and the larger number is 3. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?

Answer 1

1) 2Y+X=5

2) 5X-Y=3

Explanation:

Answer 2

The equations which represents the situation are

1) 2Y+X=5 and

2) 5X-Y=3

Explanation:

Given X= Smaller number and Y = larger number

Therefore the equation for the statement," twice a number added to a smaller number is 5" is 2Y+X=5

and the equation for the statement,"the difference of 5 times the smaller number and the larger number is 3" is 5X-Y=3

Thus the equations which represents the situation are

1) 2Y+X=5 and

2) 5X-Y=3