he larger of two numbers is 13 more than four times the smaller number. The sum of the two numbers is 203. Find both numbers but State the larger number.

Question

I'm trying to study but I'm having some problems focusing and I can't seem to figure this out and it's really bothering me

Answer 1

Hi Elena,

Let's use the variable, x , to represent the smaller of the two numbers.

Since the larger number is 13 more than 4 times the smaller, we can write the following expression to represent the larger: 4x + 13

Since the sum of the two numbers is 203, we can write and solve the following equation to find the smaller number first: x + 4x + 13 = 203

5x + 13 = 203

5x + 13 - 13 = 203 - 13

5x = 190

5x/5 = 190/5

x = 38

The smaller number is 38

The larger will be 4• 38 + 13= 152 + 13 = 165

The larger number is 165