SOLUTION: I am a 3-digit number my ones is 2 less than my hundreds and my tens is 3 more than my ones .the sum of my digits is 20.what number am I?

Question 943523: I am a 3-digit number my ones is 2 less than my hundreds and my tens is 3 more than my ones .the sum of my digits is 20.what number am I?
Found 2 solutions by dkppathak, macston:
Answer by dkppathak(439) (Show Source): You can put this solution on YOUR website!
I am a 3-digit number my ones is 2 less than my hundreds and my tens is 3 more than my ones .the sum of my digits is 20.what number am I?
let ones place ix x
hundred number is x+2
tens place is X+3
ones + tens +hundred =20
x+x+3+x+2=20
3X+5=20
3x=20-5=15
X=5
DISABLED_event_ones= 5
tens place =8
hundred place =7
number 785

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
H= hundreds digit; O=ones digit=H-2; T=tens digit=O+3=H+1
H+T+O=20 (sum of digits is 20)
H+(H+1)+(H-2)=20
3H-1=20 Add 1 to each side
3H=21 Divide each side by 3
H=7 ANSWER 1 Hundreds digit is 7
T=H+1=8 ANSWER 2 Tens digit is 8
O=H-2=5 ANSWER 3 Ones digit is 5
FINAL ANSWER the number is 785
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