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 explica

Question

3 years ago

10

do por favor

1 answer:

elena-s [515] · Answer 1 · 2022-08-03T06:22:10+03:00

Answer:

The two numbers are 9 and 5.

Step-by-step 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.