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# In a Two Digit Number, Digit at the Ten'S Place is Twice the Digit at Units'S Place. - Mathematics

Sum

In a two digit number, digit at the ten's place is twice the digit at units's place. If the number obtained by interchanging the digits is added to the original number, the sum is 66. find the number.

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#### Solution

Let the digit at the unit's place be x.
Digit at tens place = 2x
Original number = (2x)×10 + x = 21x
Number obtained by interchanging the digits = (x)×10 + 2x = 12x
From the given information,

12x + 21x = 66

33x = 66

x = 2

∴ The unit's digit = 2.
Tens Digit = 2 × 2 = 4.
Hence, the number is 42.

Concept: Word Problems of Equation in One Variable
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#### APPEARS IN

Balbharati Mathematics 8th Standard Maharashtra State Board
Chapter 12 Equations in one variable
Practice Set 12.2 | Q 5 | Page 80
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