Question

A prime number x can be written as a sum of two prime numbers y and z .It is given that x(y+z)=169 find z

Answer 1

Step-by-step explanation:

y+z=x.....(1)

x(y+z)=169......(2)

(1)in(2)

x×(y+z)=169

x×x=169

${x }^{2} = 169 \\ \sqrt{ {x }^{2} } = \sqrt{169} \\ x = 13$

x=13

y+z=x

y+z=13

2+11=13 or 11+2=13

(because the numbers are prime number)

therefore z=11 ,2

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