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the second of three numbers is 3 times the first. the third number is 2 more than the second number.seven less than twice the second is the same as 12 more than the third. what are the three numbers?I need rush answer po thank you​

Sagot :

Answer: 7, 21, and 23

Step-by-step explanation:

Let the 3 numbers be x (1st number), y (2nd number), and z (3rd number).

The 2nd number is 3 times the first:
y=3x (Eq. 1)

The 3rd number is 2 more than the 2nd:
z= y+2 (Eq. 2)

7 less than twice the 2nd is equal to 12 more than the 3rd:
2y-7=z+12 (Eq. 3)

Rewrite the Eq. 3 by substituting z=y+2 and solve for y:
2y-7=y+2+12
y=21

Input y=21 into Eq. 1 and Eq. 2 to get x and z:
In Eq. 1:
21= 3x
x= 7

In Eq. 2:
z= 21+2
z= 23