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Let the total no. of matches played be M.

If he won 70% of all matches then he lost 100-70 that is 30% of his total matches throughout his career.

So,

[tex] \frac{30}{100} \times M = 45 \\ M= 45 \times \frac{10}{3} \\ M= 150[/tex]

Total no. of matches he played throughout his career is 150.

Answer:


Let the number of matches he played overall = 'x'.


(i)  Number of matches he won = 70%.


(ii) Number of matches he lost = 30%.


Given that, he lost 45 matches in his career.


⇒ 30% of x = 45


⇒ 30/100 * x = 45


⇒ 30x = 4500


⇒ x = 4500/30


⇒ x = 150.




Therefore, the number of matches he played overall = 150.





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