Question

How many solutions, in positive integers less than 10, does the equation x + y + z = 20
have?

Answer 1

`\huge \mathbb{ \underline{EXPLANATION:}}`

Given:

▪
`\bold{\: x + y + z = 20}`

`\\`

◆ As we have a
`\small\bold{sum \: of \: three \: integers}` equal to 20 and less than 10, we know the integers have to be between 2 and 9 (1 and 0 don't apply because the sum wouldn't be equal to 20 between three integers.

`\large\tt{Note:}`

The first value would be X value, second Y value and third Z value.

`\huge \mathbb{ \underline{ANSWER:}}`

`\large\boxed{ \sf 36 \: solution}`