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
