Answer:
Y = 963
Step-by-step explanation:
The digits of Y add to 18. The first digit is 3 times the third digit. The second digit is 2 times the third digit. Y is a three digit number.
Let Y a three digit number be: abc
First digit = a , Second digit = b, Third digit = c
Also given,
The digits of Y add to 18. => a+b+c = 18 eq(i)
The first digit is 3 times the third digit. => a = 3c eq(ii)
The second digit is 2 times the third digit. => b = 2c eq(iii)
Putting value of a and b in eq(i)
3c + 2c + c = 18
6c = 18
c= 18/6
c = 3
Putting value of c in eq(ii) and eq(iii)
a= 3c => a=3(3) => a= 9
b= 2c => b=2(3) => b = 6
Thus, Y = abc
Y = 963
