## in a 2-digit number , ten’s digit is twice the unit digit . if the sum of the digits is 6 find the number .​

Question

in a 2-digit number , ten’s digit is twice the unit digit . if the sum of the digits is 6 find the number .​

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2 months 2021-11-28T13:37:38+00:00 2 Answers 0 views 0

1. ### Given:

in a 2-digit number , ten’s digit is twice the unit digit

### To find:

if the sum of the digits is 6 find the number .

### STEP BY STEP EXPLANATION:

Refer to the attachment

the Number is 42

Hence verified !1

2. ## Sᴏʟᴜᴛɪᴏɴ :-

Let us Assume That, Required two digit number is (10x + y) , where ,

→ Ten’s digit = x

→ unit digit = y .

Now, we have given that, ten’s digit is twice the unit digit.

So,

Ten’s digit = 2 * unit digit

→ x = 2y ————– Eqn.(1)

And, we also have given that, sum of the digits is 6.

So,

x + y = 6 ————– Eqn.(2)

Putting Eqn(1) value in Eqn.(2) , we get,

2y + y = 6

→ 3y = 6

→ y = (6/3)

y = 2.

Putting This value in Eqn.(1) Now,

x = 2y

→ x = 2*2

x = 4.

Therefore,

Required Two digit Number is = (10x + y) = 10*4 + 2 = 40 + 2 = 42 (Ans.)