Question

La suma de dos números es 14 añadiendo 1 al mayor se obtiene el doble del menor cuáles son los dos números. si puede ser explicado por favor

Answer 1

The two numbers are 9 and 5.

Explanation:

The question is:

The sum of two numbers is 14, adding 1 to the greatest gives twice the smallest which are the two numbers. if it can be explained please

Solution:

Denote the two numbers by x and y.

It is provided that:

`x+y=14...(i)`

Also,

`x+1=2y\\\Rightarrow x-2y=-1...(ii)`

Solve the equations (i) and (ii) by the substitution method as follows:

In equation (ii) substitute x = 14 - y and solve for y:

`x-2y=-1\\14-y-2y=-1\\-3y=-1-14\\-3y=-15\\y=5`

Substitute y in equation (i) and solve for x as follows:

`x+y=14\\x+5=14\\x=14-5\\x=9`

Thus, the two numbers are 9 and 5.