One number is 10 greater than another. If the lesser number is subtracted from three times the greater number, the difference is 84. Find the numbers.

x = one number

x + 10 = other number

3(x + 10) - x = 84 {lesser number is subtracted from 3 times greater, difference is 84}

3x + 30 - x = 84 {used distributive property}

2x + 30 = 84 {combined like terms}

2x = 54 {subtracted 30 from each side}

x = 27 {divided each side by 2}

x + 10 = 37 {substituted 27, in for x, into x + 10}

**27 and 37 are the two numbers**

**- Algebra House**