Question

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Answer 1

Answer:

Q 5). The two digit number is : 24

Step-by-step explanation:

Let's the unit place be 'y'

and the tens place be 'x'

The number is formed by digits = '10x + y'

the sum of the digits = 'x + y'

and the product of digits = 'xy'

According to the condition,

10x + y = 4( x + y ) = 3xy ---(given equation)

Write as a system of equations,we get

10x + y = 4( x + y ) ---( 1 )

10x + y = 3xy ---( 2 )

Let's solvethe equation ( 1 )

:. 10x + y = 4x + 4y

:. 6x – 3y = 0

:. y = 2x ---( 3 )

put the value of y = 2x in equation ( 2 )

:. 10x + 2x = 3x × 2x

solve the equation for x, we get

x = 0 or x = 2

substitute the given value of x in equation (3)

:. for x = 0 , y = 2 × 0 = 0

:. for x = 0 , y = 0

:. for x = 2 , y = 2 × 2 = 4

:. for x = 2 , y = 4

But ,the two digit number is 10x + y = 10×2 + 4

:. The two digit number is 24

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