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Eight times a two digit number is equal to three times the number obtained by reserving the digit. If the difference between the digit is 5. Find the number

Posted by Mohit Mulani 7 years, 7 months ago

CBSE > Class 10 > Mathematics

1 answers

Hans Raj 7 years, 7 months ago

let 2 digit at ones place =y and tens place =10x

no = 10x+y

ATQ (10x+y)8=3(10y+x)

80x+8y=30y+3x

77x - 22y=0

7x - 2y=0..................... i

x-y=5 ..................ii

from i and ii we get

x=2

y=7

no is 27

to check 8x27=3x72, 216=216

0Thank You

ANSWER

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