Seven times a two digit number is equal to four times the number obtained by reversing the order of the digits. If the difference of the digits is 3. determine the number

Question

Rachel Reese

Mathematics

29 July, 18:21

Seven times a two digit number is equal to four times the number obtained by reversing the order of the digits. If the difference of the digits is 3. determine the number

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Answers (1)

Know the Answer?

Julio Boyle · Answer 1

If the number is 'xy'

Y-x=3

7xy=4yx

y=3+x

7 (10x+y) = 4 (10y+x)

70x+7y=40y+4x

3+x=y

70x+7 (3+x) = 40 (3+x) + 4x

70x+21+7x=120+40x+4x

77x+21=120+44x

77x-44x=120-21

33x=99

x=3

y=x+3

y=3+3

y=6

Hence The number is 36 ...