Answer: 13 and 38
Step-by-step explanation:
Let the smaller number be y.
Larger number will be 2y+12
Since the sum of the numbers is 51,
y + 2y + 12 = 51
3y + 12 = 51
3y = 51 - 12
3y = 39
y = 39/3
y = 13
The smaller number is 13
The bigger number will be 2y + 12= 2(13) + 12 = 26 + 12 = 38
Answer:
13 and 38
Step-by-step explanation:
So we know that one number is 2 times the smaller number plus 12. We can use the variable x for the smaller number and the bigger number will be 2x + 12. Now we need to put the numbers into an equation.
2x + 12 + x = 51
To isolate x, we have to subtract 12 from the left side of the equation.
2x + x = 39
Now we add the x's together.
3x = 39
Now we have to divide by 3.
x = 13
But we're not done yet, although we know the smaller number is 13 we have to plug x into the larger number. So because it is 2x the amount, we multiply 13 to get 26 and then add another 12 to get 38.
