Answer:
The number Y is 862.
Step-by-step explanation:
Given : Y is a three digit number and the digits of Y add to 16 and The first digit is 4 times the third digit. The second digit is 3 times the third digit.
We have to find the number Y.
Since, Y is a three digit number
Let Y = abc , where a, b, c are the digits of Y.
According to given question ,
a + b + c = 16 ........(1)
also, The first digit is 4 times the third digit that is a = 4c ....(2)
and, The second digit is 3 times the third digit that is b= 3c ....(3)
Substitute (2) and (3) in (1) , we get,
⇒ 4c + 3c + c = 16
⇒ 8c = 16
⇒ c = 2
Thus, c = 2
Put c = 2 in (2) and (3) to find a and b ,
thus, a = 4c = 4(2) = 8
b = 3c = 3(2)= 6
Thus, number Y = abc = 862.
