One number is 5 larger than another number. the sum of twice the larger and 3 times the smaller is 50. find the numbers

One number is 5 larger than another number. the sum of twice the larger and 3 times the smaller is 50. find the numbers

explain please

 

Let the smaller number =N

Let the larger number =N + 5

 

2[N + 5] + 3N = 50

2N + 10 + 3N = 50

5N = 50 - 10

5N = 40 divide both sides by 5

N=8 One of the numbers

8+5 = 13 The second number.