Question

301 is divided into three parts 'a',
'b' and 'c' in such a way that, a/b =
b/c. If b = 42 and 'a' is smaller than
'c', then find the value of a : b: C.​

Answer 1

value of a : b: C = 1 : 6 : 36 if 301 is divided into three parts 'a', 'b' and 'c' in such a way that, a/b = b/c given b = 42 and a < c

Step-by-step explanation:

301 is divided into three parts 'a', 'b' and 'c' in such a way that, a/b = b/c.

a/b = b/c

=> ac = b²

b = 42

=> ac = 42²

=> ac = 1764

a + b + c = 301

=> a + 42 + c = 301

=> a + c = 259

a & c are roots of

x² - 259x  + 1764 = 0

=> x² - 7x - 252x + 1764 = 0

=> x(x - 7) - 252(x - 7) = 0

=> (x - 7)(x - 252) = 0

a ' is smaller than 'c'

=> a = 7   c = 252

a : b : c

7 : 42 : 252

1 : 6 : 36

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