Question

Two numbers are such as that square of one is 224 less than 8 times the square of the other. If the numbers are in the ratio of 3 : 4, their values are

Answer 1

Answer:12√2 & 16√2

Step-by-step explanation:

Let the numbers be x and y with y>x

Given, x^2=y^2 -224....(i)

& x/y=3/4

=>4x=3y

Putting in equation (i)

x^2=(4x/3)^2-224

=>224=7x^2/9

=>224*9/7=x^2

=>x=√288=12√2

=>y=4x/3=4×12√2/3

y=16√2