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Seven times a two digit number …

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Seven times a two digit number is equal to four times the number obtain ed by reversing the digit. If the difference between the digitis 3. fund the number

Posted by Ayush Upadhyay 6 years, 7 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 7 months ago

Let the ten's and unit digit be y and x respectively.
So the number is 10y + x
The number when digits are reversed becomes 10x + y
So, 7(10x + y) = 4(10y + x)
or, 70x+ 7y= 40y + 4x
or, 70x - 4x = 40y - 7y
or 66x = 33y
{tex} \Rightarrow {/tex} 2x = y .....(i)
The difference of the digits is 3
y - x= 3
2x - x = 3
x = 3
x = 3 and y = 6
Hence the number is 63

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CBSE > Class 10 > Mathematics