One number is 2 less than two-thirds the other. Their sum is 103. Find the two numbers

X + (2x/3 - 2) = 103 : Write the expression.

x + 2x/3 - 2 = 103 : Remove parentheses.

(x + 2x/3 - 2) * 3 = 103 * 3 : Multiply both sides by 3 to remove the fraction.

3x + 2x - 6 = 309 : Evaluate.

5x - 6 = 309 : Combine like terms

5x - 6 + 6 = 309 + 6 : Isolate x by adding 6 to each side.

5x / 5 = 315 / 5 : Divide by x to find its value.

x = 63.

63 is one of the number. Now, find the second number using its quantity.

2x / 3 - 2

2 (63) / 3 - 2

126 / 3 - 2 = 40.

One of the numbers is 63, and the other number is 40.

X = 2/3y - 2

x + y = 103

2/3y - 2 + y = 103

2/3y + y = 103 + 2

5/3y = 105

y = 105 * 3/5

y = 315/5 = 63

x + y = 103

x + 63 = 103

x = 103 - 63

x = 40

so ur 2 numbers are : 63 and 40