Question

In a two- digit , the digit at the units place is double the digit in the tens place. The number exceeds the sum of its digit by 18. Find the number.​

Answer 1

Answer :

• The number is 24

Given :

• In a two digit , the digit at the units place is double the digit in the tens place
• The number exceeds the sum of its digits by 18

To find :

• The number

Solution :

• Let the number at one's place be 2x
• Let the number at tens place be x

The number of the x will be

》10(x) + 1(2x)

》10x + 2x

According To Question ,

Given that, the number exceeds the sum of its digits by 18 so

Sum of digits = x + 2x = 3x then ,

》10x + 2x = 3x + 18

》12x = 3x + 18

》18 = 12x - 3x

》18 = 9x

》9x = 18

》x = 18/9

》x = 2

• The digit of ones place = 2x = 2(2) = 4
• The digit of tens place = x = 2

Now we have to find the number

》 10(x) + 1(2x)

》10(2) + 1(2 × 4)

》20 + 4

》 24

Hence , The number is 24

Answer 2

Given :-

• In a two digit, the digit at the units place is double is double the digit in the tens place.
• The number exceeds the sum of its digit by 18.

To find :-

• Find the number ?

Solution :-

• Let the number at one's place be 2x
• Let the number at ten's place be x

• The number of the x will be

$\large\dashrightarrow$10( x ) + 1( 2x )

$~~~~~$$\large\dashrightarrow$${\underline{\boxed{\blue{\frak{10 + 2x}}}}}$★

• According to the question,

• The number exceeds the sum of its digit by 80

• Sum of digits = x + 2x = 3x,

:$\implies$10x + 2x = 3x + 18

$~~~~~$:$\implies$12x = 3x + 18

$~~~~~~~~~~$:$\implies$18 = 12x - 3x

$~~~~~~~~~~~~~~~$:$\implies$18 = 9x

$~~~~~~~~~~~~~~~~~~~~$:$\implies$9x = 18

$~~~~~~~~~~~~~~~~~~~~~~~~~$:$\implies$x = $\large{\sf{\frac{18}{9}}}$

$~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~$:$\implies$x = ${\cancel{\dfrac{18}{9}}}$

$~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~$:$\implies$${\underline{\boxed{\purple{\frak{x~=~2}}}}}$★

$\therefore$ Hence,

• The digit of one's place = 2x = 2( 2 ) = 4

• The digit of ten's place = x = 2

V E R I F I C A T I O N :

• Find the number ?

:$\implies$10( x ) + 1( 2x )

$~~~~~$:$\implies$10( 2 ) + 1( 2 × 4 )

$~~~~~~~~~~$:$\implies$20 + 4

$~~~~~~~~~~~~~~~$:$\implies$${\underline{\boxed{\pink{\frak{24}}}}}$★

$\large\dag$ Hence Verified !!

• The number is = $\large\underline{\rm{24}}$