What the sum of two numbers is 25 the number is twice the second number plus seven what are the two numbers

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Let the the larger number be x

And, smaller number be y

then, according to question 

x+y=25 

=> x=-y+25  ….1

x= 2y+7     …….2

Using elimination method:

subtracting the first equation from the second, we get

x-x = 2y +7 -(-y+25)

0 = 2y +7 + y -25

0=3y-18

3y = 18

y = 18/3

y=6

Now, putting value of y in equation 1, we get

x = -6 + 25

x=19

 

Hence, two numbers are 19 and 6.