Question

divide 42 into 2parts in such a way that (4/5)th of one part is equal to (3/5)th of the other​

Answer 1

Step-by-step explanation:

1st part is 4/5 *x=42

X = 105/2

2nd part is 3/5*Y=42

Y. =

Answer 2

Answer:

X=24 and Y=18

Step-by-step explanation:

Hint: Given that 42 is divided into 2 parts which are unknown. So we need to take X and Y variables.

Solution

let the two numbers be X and Y.....

according to the question X + Y=42...(1)(since it is divided into two parts) ..

Now given that 3/5 of one number =4/5 of the other number.

so 3/5(X)=4/5(Y).

solving this equation we get 3X=4Y

X=4Y/3..(2)

putting the values of (2) in (1) we get

4Y/3 + Y = 42

on further solving... we get Y = 18....(3)

Now putting Y=3 in (1) we get X=24.

So the numbers are X=24 and Y=18.