Question

four times a certain two digit number is seven times the number obtained on interchanging its digits. If the difference between the digits is 4. FIND THE NUMBER
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Answer 1

Answer:

let the unit digit=x+4

Number =10(x+4)+x=11x+40

Reversed no. =10x+x+4=11x+4

⇒4(11x+40)=7(11x+4)

⇒44x+160=77x+28

⇒33x=132

⇒x=4

Tens digit =8

Therefore, number is 84.