One number is 40 less than another number. Two-thirds of the lesser number is equal to one-fourth of the greater number. Find the greater number.

50.91

Step-by-step explanation:

One number is 40 less than another number.

Let the first number be x

And the next number be y

x = y-40

x is the lesser number because y = x+40

Two-thirds of the lesser number is equal to one-fourth of the greater number.

2/3x = 1/4y

Inserting y = x+40

2/3x = 1/4y = 1/4 (x+40)

2/3x = 1/4x + 1/4 (40)

2/3x - 1/4x = 10

8x-3x/12=10

cross multiply

11x = 12 x 10

11x = 120

x = 120/11 = 10.9090 = 10.91

y = x+40 = 10.91+40 = 50.91