Question

QUESTION:-

A two digit number is 4 times the sum of the digits. It is also equal to three times the product of digits . Find the number.

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Answer 1

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★ Solution :—

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Let 10y + x be the two digit numbers.

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given : 10y + x = 4 ( y + x )

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» 10y + x = 4y + 4x

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» 10y - 4y = 4x - x

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» 6y = 3x

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» x = (6/3) y

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» x = 2y ____(1)

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also, 10y + x = 3yx

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» 10y + 2y = 3y(2y)

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» 12y = 6y²

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» 12 = 6y

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» y = 2 from ____(1)

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x = 2(2) = 4.

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» 10y + 4

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»10 × 2 + 4

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» 20 + 4

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» 24

Number :

» 10y + x

» 10 × 2 + 4

» 20 + 4

» 24

Therefore, the number is 24.

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Answer 2

Answer:

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