The ratio of two numbers is 3 : 8 and their difference is 115. The lar

1.	The ratio of two numbers is 3 : 8 and their difference is 115. The largest number is ………………. A) 115 B) 69 C) 184 D) 240
Answer» Correct option is (C) 184 Let the numbers are x & y. \(\therefore\) Their difference = 115 \(\therefore\) x - y = 115 __________(1) The ratio of two numbers is 3 : 8. \(\therefore\) \(\frac yx=\frac 38\) \((\because\) Largest number is x) \(\Rightarrow\) 8y = 3x \(\Rightarrow\) 8 (x - 115) = 3x (From (1)) \(\Rightarrow\) 8x - 920 = 3x \(\Rightarrow\) 8x - 3x = 920 \(\Rightarrow\) 5x = 920 \(\Rightarrow\) x = \(\frac{920}5\) = 184 \(\therefore\) Largest number is 184. Correct option is C) 184

The ratio of two numbers is 3 : 8 and their difference is 115. The largest number is ………………. A) 115 B) 69 C) 184 D) 240

Answer»

Correct option is (C) 184

Let the numbers are x & y.

\(\therefore\) Their difference = 115

\(\therefore\) x - y = 115 __________(1)

The ratio of two numbers is 3 : 8.

\(\therefore\) \(\frac yx=\frac 38\) \((\because\) Largest number is x)

\(\Rightarrow\) 8y = 3x

\(\Rightarrow\) 8 (x - 115) = 3x (From (1))

\(\Rightarrow\) 8x - 920 = 3x

\(\Rightarrow\) 8x - 3x = 920

\(\Rightarrow\) 5x = 920

\(\Rightarrow\) x = \(\frac{920}5\) = 184

\(\therefore\) Largest number is 184.

Correct option is C) 184