What's the awnswer to there's 2 numbers have a sum of 102 and there difference is 26 find the larger number? Please help

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

From the first statement, we know that:

x + y = 102

From the second statement, we know that:

y - x = 26

Can you try to solve them simultaneously now? Eliminating x (the smaller number) by adding the two equations so that only y (the larger number) remains is the shortest method.

Post what you get! :)

Let's see: x+y=102
x-y = 26
Adding the bottom equation to the top equation yields: 2x = 128. Solving for x, x= 128/2 = 64.
Next, setting x=64 in the top equation,
we have 64 + y = 102. From here, we have y = 102 - 64 = 38. Since 64 > 38, your answer is 64.
I hope this is of some help. Good luck!