Question

Aditya and Akila both have some pieces
of gulab jamuns. If Aditya gives 10 pieces
to Akila, Akila will have twice as many as
Aditya. If Akila gives 10 pieces to Aditya,
they will have the same number of pieces.
Using the substitution method, find out
how many pieces each one has.​

Answer 1

Step-by-step explanation:

aditya = x

akila=y

2(x-10)=y ______(2)

y-10=x_____(1)

let put value (1) in second (BY SUBSTITUTION METHOD)

2(y-10-10)=y

2y-40=y

2y-y=40

y=40

now put value in equation (1)

40-10=x

x=30

Hence Aditya have 30 piece of gulab jamun

and Akila have 40 piece of gulab jamun

Answer 2

Step-by-step explanation:

x = Number of Gulab Jamun Aditya has

y = Number of Gulab Jamun Akila has

according to the question,

2(x-10) = y + 10 => 2x-20 = y -- (i)

y-10 = x+10 --(ii)

now after substituting we get,

=> 2x-20-10-10 = x+10

=> 2x-20-10-10-10 = x

=> x = 50

putting value of x in equation (i) we get,

=> 2(50-10) = y+10

=> 100-20-10 = y

=> y = 70

Therefore, Aditya has 50 Gulab Jamun and Akila has 70 Gulab Jamun