Answer:
Anil = ₹235.64
Raghov = ₹235.64
Sobha = ₹176.73
Explanation:
[Money values have units of ₹]
Let R, A, and S stand for the amounts received by Raghav, Anil, and Sohba, respectively.
We are told that A = R [Anil gets of amount that Raghav gets]
We also learn that S = 0.75A [ Sobha Got 75% of amount that Anil got]
And we know that
R + A + S = ₹648 [₹648 is divided into three friends]
We have 3 equations and three unknowns. Lets use substitution to find the answers (the process of eliminating variables to find an answer for one and then using that to find the others).
(1) A = R
(2) S = 0.75A
(3) R + A + S = ₹648
Note that both 1 and 2 can be arranged to define variables R and S as functions of only A:
(1) A = R
R = A
(2) S = 0.75A
Now lets use these definitions of R and S in equation 3:
(3) R + A + S = ₹648
A + A + 0.75A = ₹648
2A + 0.75A = ₹648
2.75A = ₹648
A = ₹235.64
This means (from R = A) that R also = ₹235.64
By using substitution we were able to change both R and S into values of A so that the third equation only had A as an unknown, allowing us to solve for A.
Finally, from S = 0.75A, we find that S = 176.73
Summary
All are in ₹
A = 235.64
R = 235.64
S = 176.73
==========================
CHECK:
Does R + A + S = ₹648
235.64 + 235.64 + 176.73 = ₹648? YES
Did R and A get the same amounts? YES
Did S get 75% of A? YES