SOLUTION: In a two digit number, unit’s digit is 3 more than the ten’s digit. The number formed by interchanging the digits and the original number are in the ratio 7 : 4. Find the number

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: In a two digit number, unit’s digit is 3 more than the ten’s digit. The number formed by interchanging the digits and the original number are in the ratio 7 : 4. Find the number      Log On


   

Question 114488: In a two digit number, unit’s digit is 3 more than the ten’s digit. The number formed by interchanging the digits and the original number are in the ratio 7 : 4. Find the number
Answer by stanbon(75887) About Me  (Show Source):
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In a two digit number, unit’s digit is 3 more than the ten’s digit. The number formed by interchanging the digits and the original number are in the ratio 7 : 4. Find the number
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Let the number be 10t+u
EQUATIONS:
u = t+3
(10u+t)/(10t+u) = 7/4
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Substitute to solve for t:
(10(t+3)+t)/(10t+(t+3)) = 7/4
(11t+30)/(11t+3) = 7/4
Cross multiply:
44t+120 = 77t+21
33t = 99
t = 3
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u=3+3 = 6
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Number = 36
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Cheers,
Stan H.