Q:

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

Accepted Solution

A:
Answer: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. β‡’ a = b+5.and also given (3Γ—a)+(2Γ—b) = 60.β‡’(3Γ—(b+5))+(2Γ—b) = 60β‡’(5Γ—b)+15 = 60β‡’5Γ—b = 45β‡’b = 9 β‡’a = b+5 = 9+5 = 14.∴ Larger number is 14 and smaller number is 9