in the two digit number the digit at unit place is equal to the square of the digit at ones place if 18 is added to the number the digits interchange find the number
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3
Answer:
24
Step-by-step explanation:
let the units digit be y and the tens digit x
x² = y
the number is 10x + y
so by adding 18,
10x + y + 18 = 10y + x
10x - x + 18 = 10y - y
9x + 18 = 9y
9x + 18 = 9x² ( on substituting the value of y as x² )
x + 2 = x² ( dividing the whole equation by 9 )
on solving the above equation....
the value if x is 2
y = x²
so, y is 4
the number is 24
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