Two numbers are in the ratio 3:4. If 23 is subtracted from their sum, the result is 40. What is the larger number

Question

Two numbers are in the ratio 3:4. If 23 is subtracted from their sum, the result is 40. What is the larger number

Answer 1

3x+4x - 23 = 40

3x+4x = 63

4x is the bigger number

7x = 63

x= 9

4x = 36 = bigger number

3x = 27 = smaller number

27+36-23 = 40