Question
If a - b : b - c : c - d = 1 : 2 : 3, then what is the value of (a + d) : c?
यदि a - b: b - c: c - d = 1: 2: 3, तो (a + d) : c का मान क्या है?
Answer
B. a - b : b - c : c - d = 1 : 2 : 3
So -
a - b =x a=x+b
b - c =2x b=2x+c
c - d =3x d=c-3x
a=x+b (b=2x+c)
a=x+2x+c=3x+c
a+d=3x+c+ c - 3x ( d = c - 3x)
a+d=2c
a+d:c=2c:c=2:1
So the correct answer is option B.
B. a - b: b - c: c - d = 1: 2: 3
इसलिए -
a - b = x a = x + b
b - c = 2x b = 2x + c
c - d = 3x d = c - 3x
a = x + b (b = 2x + c)
a = x + 2x + c = 3x + c
a + d = 3x + c + c- 3x ( d = c - 3x)
a + d = 2c
a+ d: c = 2c: c = 2: 1
इसलिए सही उत्तर विकल्प B है।