SOLUTION: please help me in solving this question-"the ten's digit of a two digit number exceeds its unit's digit by 5 .the number itself is equal to 8 times the sum of the digit .find the n

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: please help me in solving this question-"the ten's digit of a two digit number exceeds its unit's digit by 5 .the number itself is equal to 8 times the sum of the digit .find the n      Log On


   

Question 880375: please help me in solving this question-"the ten's digit of a two digit number exceeds its unit's digit by 5 .the number itself is equal to 8 times the sum of the digit .find the number"
I'll be very grateful to you ,if you kindly solve this problem for me
Answer by lwsshak3(11628) About Me  (Show Source):
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please help me in solving this question-"the ten's digit of a two digit number exceeds its unit's digit by 5 .the number itself is equal to 8 times the sum of the digit .find the number"
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let u=units digit
let t=tens digit
t=u+5
..
10t+u=8(u+t)
10(u+5)+u=8u+8t
10u+50+u=8u+8(u+5)
11u+50=8u+8u+40
10=16u-11u
10=5u
u=2
t=u+5=7
number=10t+u=70+2=72