According to the law of conservation of linear momentum
wehave
               totalinitial
momentum before decay = total final momentum afterdecay
Given that total intitial momentum of the system iszero.
Then 0 = m1v1
+m2v2
        (m1)(0.987c)
+ (m2)(-0.868c) = 0
            0.987m1
= 0.868m2
                    m1
= (0.868 / 0.987)m2
                         =
0.879m2 ....................(1)
Since we have m1 + m2 = 3.34
x10-27 kg
                    0.879m2
+ m2 = 3.34 x 10-27 kg
                m2
( 1 + 0.879) = 3.34 x 10-27 kg
From this we calculate the value of m2.
After getting the value of m2 substitute this valuein
the eq(1) we get the value of m1.