The number 350 is separated into three parts (numbers). Dividing the first number by the third will give 2 and dividing the second number by the pfirst number will give 5 and a remainder of 25. Find the three numbers.

Question

Andy has 145 coins in his coin bank. THe number of 5-denomination coins is 10 more than twice the number of 10-denomination coins. The difference between the number of 1-denomination coins and 5-denomination coins is 5 more than the number of 10-denomination coins. How many of each kind of coin does he have?

Answer 1

let the three numbers be a , b , and and c
a+b+c=350

a/c = 2 ---> a = 2c or c = a/2

so a + b + a/2 = 350
3a + 2b = 700

b/a = 5 + 25/a
b= 5a + 25

in 3a + 2b=700
3a + 10a + 50 = 700
13a = 650
a = 50
b = 275
c = 25

check:
50+275+35 = 350 , check!
50/25 = 2 , check
275/50 = 5.5 = 5 + 25/50 = 5 + remainder of 25 , check