Algebra | Linear Equation in 2 Variable

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Questions

There are two buckets, smaller bucket can hold only 3/5th of the water as compared to the larger bucket. If 6,000 buckets of larger capacity are needed to fill a pond. Then how many smaller capacity buckets are needed to fill the same pond?

If (a + b)/c = 6/5 and (b + c)/a = 9/2, then what is the value of (a + c)/b?

If 3x + 5y + 7z = 49 and 9x + 8y + 21z = 126, then what is the value of y?

The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

A number consists of two digits whose sum is 11. If 27 is added to the number, then the digits change their places. What is the number ?