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A two-digit number is 4 times …

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A two-digit number is 4 times the sum of its digit if 18 is added to the number, the digit are reversed. Find the number

Posted by Nasim Khan 6 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Sirsti Sngm 6 years, 5 months ago

Let the tens digit be x and ones digit be y ,then the number will (10x+y) Then A/q, = (10x+y )=4(x+y) = 10x+y=4x+4y =6x-3y =0 = 2x -y =0..............(1) Again A/q, (10x+y) +18 = (10y+x) = 10x+y+18=10y+x =9x -9y =-18 = x-y=-2.............(2) Substracting 2 from 1 we get, x=0-(-2) {x=2} Substituting value of x in 1 we get, 4-y=0 -y=-4 {y=4} Therefore the digit will be 24.

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CBSE > Class 10 > Mathematics