Question

(A) 10 (
B12 to
24. Nitya and Satya have some marbles with them. Nitya
says to Satya, 'If you give one marble to me, we will
have equal number of marbles'. Satya says to Nitya,
'If you give me one marble, I will have twice the num-
ber of marbles you have'. How many marbles do Nitya
and Satya have respectively?
(A) 4,6
(B) 5,7
(C) 6,4
(D) 7,5​

Answer 1

Answer:

Let marbles with Nitya be 'x', Satya be 'y'

nitya: if you give one marble to me, we will have equal number of marbles.

x+1 = y-1 -----(1)

satya: if you give me one marble, I will have twice the number of marbles you have.

y+1 = 2(x-1)

y+1 = 2x - 2 ------(2)

(2) - (1) ;

(x-3) = 2

x = 3+2 = 5

x = 5

put x=5 in (1) ;

(y - 1) = (x+1) = (5+1) = 6

y = 6+1 = 7

y = 7

Nitya has 5 marbles, satya has 7 marbles

(B) 5,7

Hope this helps you...