Verified answer

Answer:

Let's assume that the total runs made by India is 'x'.

According to the problem, 1/3 of the runs made by India is 137 - (1/7)x.

And, the last run that won the match for India is x.

So, the total runs made by India can be represented as:

x = (137 - (1/7)x) + x

Expanding and simplifying the equation:

8/7 x = 137

Finally, dividing both sides by 8/7:

x = 137 * 7/8 = 103.375

So, India made 103 runs in the match.

Step-by-step explanation:

my 100 maths answer

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Answer:

Let:- The run scored by India is = x

and run scored by Australia is = y

According to the question,

sum of 1/3 runs of India and 1/7 runs of Australia is 137.

so,1/3 x + 1/7 y = 137

[tex] = \sf\frac{x}{3} + \frac{y}{7} = 137 \: \: \: \: \: \\ \\ \implies \sf\frac{7x + 3y}{21} = 137 \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf 7x + 3y = 2877 ...(1)[/tex]

Again,

india won the match with the last run

so, x-y = 1 ......(2)

Now,solving (1) and (2)

[tex] \sf(1) \times 1 \rightarrow 7x + 3y = 2877...(3) \\ \sf(2) \times 3 \rightarrow \: 3x - 3y = 3 \: \: \: \: \: \: ...(4)[/tex]

Adding equation (3) and (4) we get,

[tex] \sf7x + 3y + 3x - 3y = 2877 + 3 \\ \implies \sf10x = 2880 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \implies \sf \: x = \frac{2880}{10} = 288 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

put the value of x in equation (2)

x - y = 1

288 -y = 1

y = 287

So, In that score made by India is 288 and Australia is 287. And india win the math by 1 run.

Thanks :)