Question

ZEBRONC
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ELITE HEALERS
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5. Unit digit of a two digit number is three times its tens digit. If the unit digit is 6. Find the number.​

Answer 1

$\bold{\underline{\underline{\huge{\sf{AnsWer:}}}}}$

Number = 26

$\bold{\underline{\underline{\large{\sf{StEp\:by\:stEp\:explanation:}}}}}$

GiVeN :

• Unit digit of a two digit number is three times its tens digit.
• Units digit is 6

To FiNd :

• The Number

SoLuTiOn :

Let the digit in the tens place be x.

Let the digit in the units place be y.

Original Number = 10x + y

$\sf{\underline{\underline{As\:PeR\:tHe\:FiRsT\:cOnDiTiOn:}}}$

• Unit digit of a two digit number is three times its tens digit.

Constituting it mathematically,

$\longrightarrow$ $\sf{y\:=\:3y}$ ---> (1)

$\sf{\underline{\underline{As\:PeR\:tHe\:SeCoNd\:cOnDiTiOn:}}}$

• The units digit (y) is 6

We can replace y in equation 1 by 6,

$\longrightarrow$ $\sf{y\:=\:3x}$ ---> (1)

$\longrightarrow$ $\sf{6\:=\:3x}$

$\longrightarrow$ $\sf{\dfrac{6}{3}\:=\:x}$

$\longrightarrow$ $\sf{x\:=\:2}$

$\bold{\large{\boxed{\green{\sf{Tens\:digit\:=\:x\:=\:2}}}}}$

$\bold{\large{\boxed{\green{\sf{Units\:digit\:=\:y\:=\:6}}}}}$

$\bold{\large{\boxed{\green{\sf{Original\:Number\:=\:10x\:+\:y\:=\:10(2)\:+\:6\:=\:20\:+\:6\:=\:26}}}}}$

Answer 2

Answer:

Value of original no. Is 26