App Logo

No.1 PSC Learning App

1M+ Downloads
Two numbers are such that the square of one is 224 less than 8 times the square of the other. If the numbers are in the ratio of 3: 4, find the numbers.

A8, 18

B9, 12

C9, 13

D6, 8

Answer:

D. 6, 8

Read Explanation:

The two numbers are in the ratio = 3x : 4 x

According to the question $(4x) ^ 2 + 224 = 8 \times (3x) ^ 2$

$\Rightarrow 16x ^ 2 + 224 = 8 \times 9x ^ 2$

$\Rightarrow x = 2$

The number are 3 x 2 = 6 and 4 x 2 = 8


Related Questions:

Two numbers are, respectively, 17% and 50% more than a third number. The ratio of the two numbers is?.
The total number of students in a class is 65. If the total number of girls in class 35, then the ratio of the total number of boys to the number of girls is :
ഒരു ചതുരത്തിന്റെ നീളവും വീതിയും ഉയരവും യഥാക്രമം 1 : 2 : 3 എന്ന അംഗ ബന്ധത്തിലാണ്. അതിന്റെ വ്യാപ്തം 1296 cm ആയാൽ ഉയരം എത്രയായിരിക്കുo
The ratio of four numbers is 1/3 : 1/6 : 1/2 : 1/15 and if the difference between the sum of two larger together and two smaller together is 72. Find the greatest number.
The ratio of the first and second class fares between two railway stations is 4:1 and that of the number of passengers travelling by first and second classes is 1:40. If on a day R.s 1,100 are collected as total fare, the amount collected from the first class passengers is