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Two integers have a sum of 53 and a difference of 17. Find the larger integer.

For a certain 3 digit number, interchanging the first and last digits gives a three-digit number 297 less than the original number. Doubling the first and last digits of the original number gives a three-digit number that increases the sum of the digits to 15.

Three kinds of coffee are to be mixed to get a blend. One kind costs $0.40 per pound, the second $0.80 per pound and the third $1.00 per pound. 110 pounds of the mix is wanted and it should cost $0.60 per pound. The amount of coffee costing $0.80 per pound should be...