Question

Runs scored by Rahul in a match are 38 more than the balls faced by Virat. The number of balls faced by Rahul is 8 less than the runs scored by Virat. If together they have scored 144 runs and the balls faced by Rahul are 18 more than those faced by Virat, find the number of runs scored by Rahul.

Answer 1

Answer:

The number of runs scored by Rahul is 78.

Step-by-step explanation:

Rahul : runs - x, balls p.

Virat : runs - y, balls - q.

So there is a system of equations :

x = q + 38,   or q = x - 38

p = y - 8

x + y = 144

p = q + 18

It becomes:

x + y = 144

y - 8 = x - 38 + 18

----------------------------

x + y = 144

                   +

- x + y = - 12

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2 y = 132,  y = 132 : 2 = 66

Finally : x = 144 - 66 = 78.