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Let the two rational numbers be x and y

therefore x + y = 58

and x - y = 28

adding the two equations we get that 2x = 86 and thus x = 43

and thus y = 15

x = 43 and y = 15

therefore x + y = 58

and x - y = 28

adding the two equations we get that 2x = 86 and thus x = 43

and thus y = 15

x = 43 and y = 15

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

*Let first rational no. be x*

*the second no. be y*

*A/q*

*x + y = 58 .............(i)*

*x - y = 28 .............(ii)*

*On adding eq. (i) and (ii), we get*

*x + y = 58*

*x - y = 28**2x = 86*

*x = 86/2 = 43*

*Now substituting the value of x= 43 in eq. (i)*

*x + y = 58*

*43 + y = 58*

*y = 58 - 43*

*y = 15*

*Therefore the two rational numbers are 43 and 15*