The number 54 is divided into two parts such that sum of 10 times the first part and 22 times the second part is 780.
Find the part which is greater in value.

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Solution

The correct option is A
34

According to the given condition, the equations formed are:
54 = x+y
10x + 22y = 780

Solving these equations, we get,

x = 34 and y = 20

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