# The difference of two numbers is 1. Their sum is 13. What are the numbers?

Jan 12, 2017

$7 \mathmr{and} 6$

#### Explanation:

Let the two numbers be: ${x}_{1} \mathmr{and} {x}_{2}$

We are told that:

${x}_{1} - {x}_{2} = 1$ Equaltion (A)

and

${x}_{1} + {x}_{2} = 13$ Equation (B)

(A) + (B) $\to 2 {x}_{1} = 14$

${x}_{1} = 7$

Replacing ${x}_{1} = 7$ in (B) $\to 7 - {x}_{2} = 1$

${x}_{2} = 6$

Hence the two numbers are $7 \mathmr{and} 6$