In a cricket match, Team A scored 232 runs without losing a wicket. The score consisted of byes, wides and runs scored by two opening batsm…

Let the number of runs scored by byes, wides and runs be x, y and z respectively:

⇒ x + y + z = 232 - - - - - - - - (i)

The runs scored by the two batsmen are 26 times the wides:

⇒ z = 26y - - - - - - - - - (ii)

There are 8 more byes than wides:

⇒ x = y + 8 - - - - - - - - (iii)

Substituting equations (iii) and (ii) in equation (i),

We get, y = 8, z = 208

The runs scored by Ram and Shyam were in the ratio 6 : 7

Let the runs scored by Ram be 6r and by Shyam be 7r

⇒ 13r = 208 ??

⇒ r = 16

⇒ Runs scored by Ram = 16 × 6 = 96

∴ Runs scored by Ram is 96 runs

Let the number of runs scored by byes, wides and runs be x, y and z respectively:

⇒ x + y + z = 232 - - - - - - - - (i)

The runs scored by the two batsmen are 26 times the wides:

⇒ z = 26y - - - - - - - - - (ii)

There are 8 more byes than wides:

⇒ x = y + 8 - - - - - - - - (iii)

Substituting equations (iii) and (ii) in equation (i),

We get, y = 8, z = 208

The runs scored by Ram and Shyam were in the ratio 6 : 7

Let the runs scored by Ram be 6r and by Shyam be 7r

⇒ 13r = 208 ??

⇒ r = 16

⇒ Runs scored by Ram = 16 × 6 = 96

∴ Runs scored by Ram is 96 runs