the difference between the two numbers is 45 the sum between three times the first number and twice the second is 10 find the two numbers

Question

the difference between the two numbers is 45 the sum between three times the first number and twice the second is 10 find the two numbers

Answer 1

Your English grammar needs attention before you can solve this problem.

Sentences begin with a capital letter and end with a period.

Questions start with a capital letter and end with a question mark.

"the sum between ..." is certainly non-standard terminology, but I think you mean "the sum of:.

Now the problem:

x-y=45

3x+2y=10

3(45+y)+2y=10

You solve it from here.