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A two-digit number is obtained by either multiplying sum of the digit by 8 and adding 1 or by multiplying the difference of the digits by 13 and adding 2. The number is______.

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Important Questions on Linear Equations

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Kitty and Vicky each have a certain number of oranges. Kitty says to Vicky, 'If you give me 10 of your oranges I will have twice the number of oranges left with you'. Vicky replies, 'If you give me 10 of your oranges, I will have the same number of oranges as left with you. Find the number of oranges that Vicky has:
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If three times the larger of the two numbers is divided by the smaller one, we get 4 as quotient and 3 as the remainder. Also, if seven times the smaller number is divided by the larger one, we get 5 as quotient and 1 as remainder. The numbers are:
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Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?

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In a two digit number, the digit in the unit's place is more than twice the digit in ten's place by 1. If the digits in the units' place and the ten's place are interchanged, difference between the newly formed number and the original number is less than the original number by 1. What is the original number?

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The average of eight rainfall observations in a particular city, Z, is 20 cm, that of first two is 1512 cm. and of the next three is 2113 cm, the sixth is less than the seventh by 4 cm and less by 7 cm than the eighth. Find the last observation:
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Sandhya was married six years ago. Her present age is 54 times that of at the time of marriage. Her daughter's age is 16 of her age. If Sandhya was married in 1996, then her daughter was born in:
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The age of my son is 13 of the age of my wife. My wife's age is 45 of my age and I am 34 of my father's age. If my father's age is 55 years, then what will be the age of my son?
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For what amount should goods worth 37,000 be insured at 712 per cent so that in case of loss, both the value of goods and insurance premium can be recovered?