My mother is 12 years more than twice my age.after 8 years she will be 20 years less than three times my my age and my mothers age
hi i would like you to tell me step by step how you did it (the equation)

Hello,

m is the mother 's age
a is your age

My mother is 12 years more than twice my age. ==>m=2a+12 (1)


after 8 years she will be 20 years less than three times my age:

in 8 years: mother 's age=m+8
your new age: a+8

m+8=3*(a+8)-20 (2)

m=2a+12 (1)
(2a+12)+8=3*(a+8)-20 (for (2))
==>2a+20=3a+24-20
==>3a+4=2a+20
==>3a-2a=20-4
==>a=16 (your age )

m=2a+12=2*16+12=32+12=44

Proof: m=2a+12==>44=2*16+12
m+8=3(a+8)-20==>44+8=3(16+8)-20 ==>52=72-20

In the first box, B; in the second box, A; and in the third box, C.

Step-by-step explanation:

The sides marked on the triangle would be ranked in order from least to greatest as

n+3, 2n, 3n-2.

This is because for numbers greater than 3 (we are told that n is greater than or equal to 4), adding 3 to a number is less than multiplying it by 2.

Multiplying a number by 2 is less than multiplying a number by 3 then subtracting 2.

To test, use 4:

n+3 = 4+3 = 7; 2n = 2(4) = 8; 3n-2 = 3(4)-2 = 12-2 = 10.

The angles associated with these sides are across from them.  The angle across from the side marked n+3, AC, is angle B.  The angle across from the side marked 2n, BC, is angle A.  The angle across from the side marked 3n-2, AB, is angle C.