# SOLUTION: ann's age is seven-tenths of Bill's age. In 4 years Ann's age will be eight-elevenths of Bill's age. How old is Bill now? The Ten's digit of a two-digit number is 3 more than

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 Click here to see ALL problems on Age Word Problems Question 41479: ann's age is seven-tenths of Bill's age. In 4 years Ann's age will be eight-elevenths of Bill's age. How old is Bill now? The Ten's digit of a two-digit number is 3 more than the unit's digit. The number is 8 more than six times the sum of the digits. Find the number.Answer by vidhyak(94)   (Show Source): You can put this solution on YOUR website!Let Ann's age be A and Bill's age be B ann's age is seven-tenths of Bill's age. A = 7/10(B) ....eq1 In 4 years Ann's age will be eight-elevenths of Bill's age. A + 4 = 8/11(B+4).....eq2 Substitute eq1 in eq2 (7/10(B)) + 4 = 8/11(B+4) Cross multiply 11(7B + 40) = 80(B + 4) 77B + 440 = 80B + 320 -3B = -120 B=40 Bill's age is 40 ----------------------------------------------------- Let the ten digit be T and units digit U The number will be 10T + U The Ten's digit of a two-digit number is 3 more than the unit's digit. T = 3 + U .....eq1 The number is 8 more than six times the sum of the digits. 10T + U = 8 + 6(T + U) 10T + U = 8 + 6T + 6U 10T + U - 6T - 6U = 8 4T - 5U = 8 SUBSTITUTE T = 3 + U 4(3 + U) - 5U = 8 12 + 4U -5U =8 -U = -4 U = 4( UNIT'S DIGIT IS 4) Since Ten's digit is 3 more than the unit's digit, it 7 Number is 74