Question

11. A two-digit number is 4 times the sum of its digits and twice the product of the dicit
Find the number
digits.
[CBSE 2005]
​

Answer 1

Brainly.in

What is your question?

1

Secondary SchoolMath 5 points

A two digit number is 4 times the sum of its digits and twice the product of its digits.Find the number.

Ask for details Follow Report by Majeti 30.01.2016

Answers

knaveen

knaveen Helping Hand

Sol: let the digits be x and y

let x is in the tens place then

it sill become 10x let y is in once place the it will become

1y

the original number be 10x+y

from the question

10x+y=4(x+y)

10x+y=4x+4y

10x-4x+y-4y=0

6x-3y=0

2x-y=0

2x=y. eq-1

again according to question

10x+y=2(xy)

substitute y=2x

10x+2x=2x(2x)

12x/2x=2x

6=2x

x=3

if x=3 then y=?

2x=y

y=6

the number is 36