Question

Find two numbers with the sum of 65.twice the smaller number is ten more than the bigger one

Answer 1

Step-by-step explanation:

To begin, let’s represent both numbers with letters; x for the smaller number and y for the larger one

The question states that both numbers sum up to 65. With that, we can create our first equation:

x+y = 65

You also went on to say that the smaller number multiplied by 2, is equal to the sum of the larger number and 10. Therefore

2x = y+10

We can rearrange the first equation, place it in the second equation and find our answer. So,

Rearranging equation 1, we have y=65-x. Hence:

2x = 65-x +10

3x = 75

x= 75/3 = 25

Substituting this value into equation 1, we have ‘y’ to be 40 {65–25}

Proof: 2*25 = 50 = 40+10