The sum of the digits of a three-digit number is 12. The tens digit, t, is 2 more than the hundreds digit, h. The units digit, u, is equal to the sum of the tens and hundreds digits. What is the number?

so the equation would be

u+t+h=12

lets break it down

we know that t is equal to

h+ 2

and we know that u is equal to

h+t

okay so first we need to focus on finding one of the units then we can find the next ones

so lets find h first,

with the equations we found h is involved in all of them so we can use them in the equation that equals 12 ( ill make it easier for you and make all of the units equal to their equation including h)

u= h+t

h+2=t

t= h+2

h=h

u= h+h+2

so lets put it together

(h+h+2)+(h)+(h+2)=12

4h+4=12

    -4  -4

4h=8

/4   /4

h=2

okay now using our other equations lets find t and u

h+2=t

2+2=t

4=t

h+t=u

2+4=u

6=u

now lets check our answers

u+t+h

6+4+2=12

10+2=12

12=12

so now that we know the values lets put them into their places in the number

uth

u=6

t=4

h=2

642 is your number

if you need anymore clarification just ask or help with another problem

Step-by-step explanation:

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !