Question

The larger of two numbers is less than twice the smaller number.if the sum of two numbera is 38,find the sum of the two numbers

Answer 1

Let the larger number = y and the smaller number = x.

 

The largest number is 10 less than twice the smaller number.  Remember that less than means subtract the 10 from the other amount while twice means multiply by two.  Therefore,

 

y = 2x - 10

 

The sum of the two numbers is 38.  Remember sum means add the two numbers to get their result.  Therefore,

 

x + y = 38

 

Since y = 2x - 10, we rewrite the lower equation as:

 

x + (2x - 10) = 38

 

Solving:

 

3x - 10 = 38

3x = 48

x = 16

 

The lesser number is 16 and the greater number is 2(16) - 10 or 22.