one number is 5 bigger than another number. when three times the lagger number is to twice the smaller number, the results is 60. what are the two numbers

Two numbers are 9 and 14.

Step-by-step explanation:

Let larger number is 'a' and smaller number is 'b'.

Given one number is 5 bigger than the other. ⇒ a = b+5.

and also given (3*a) + (2*b) = 60.

⇒ (3 * (b+5)) + (2*b) = 60

⇒ (5*b) + 15 = 60

⇒5*b = 45

⇒b = 9

⇒a = b+5 = 9+5 = 14.

∴ Larger number is 14 and smaller number is 9