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In a two-digit natural number, the digit at the tens place is equal
to the square of the digit at units place. If 18 is sub

By Madeline

In a two-digit natural number, the digit at the tens place is equal
to the square of the digit at units place. If 18 is subtracted from
the number, the digits get interchanged. Find the number.

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Madeline

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1 thought on “In a two-digit natural number, the digit at the tens place is equal <br /> to the square of the digit at units place. If 18 is sub”

  1. Step-by-step explanation:

    Let the number be 10x+y

    GIVEN:

    • x=y²
    • 10x+y-18=10y+x
    • 9x-9y=18
    • x-y=2 -> x=2+y

    EQUATING BOTH THE EQUATIONS WE GET AS,

    2+y=y²

    y²-y-2=0

    (y-2)(y+1)=0

    y=+2(as both the numbers are natural -1 is neglected)

    x=2²=4

    SO THE NUMBER IS 10(4)+2 = 40+2=42

    hope it is helpful

    if so please mark me as brainliest

    Reply

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