Question

divide 18 in two parts such that their ratio of their squares is 25:16​

Answer 1

Answer:

1. we can divide it

10,8

such that

,

Step-by-step explanation:

100/64=25/16

Answer 2

Answer:

The first part is 10 and the second part is 8

Step-by-step explanation:

Let the two parts be x and y

Then x+y=18

x=18-y.........(1)

It is given that ratio of their sqaures is 25:16

ie, x²/y² = 5²/4²

x/y = 5/4

4x = 5y

4(18-y) = 5y

72 - 4y = 5y

72 = 5y+4y

9y=72

y=72/9

y=8

x=18-y = 18-8 = 10