Advertisements
Advertisements
Question
A two digit number is 4 times the sum of its digit and twice the product of its digit. Find the number.
Advertisements
Solution
Let this two digit number be xy. Which means x=10x (as it comes in tens digit).
Then as per the question,
4(x+y)= 10x+y, ....... (i)
and 2(xy) =10x + y
⇒ 10x + y - 2xy = O ....... (ii)
From (i), we get: 6x = 3y
⇒ y = 2x
Putting this in (ii) , we get
10x + 2x - (2x) 2x = 0
⇒ 4x2 = 12x
⇒ 4x (x-3)=0
⇒ x=3, hence y=6
Hence the number is 36
APPEARS IN
RELATED QUESTIONS
Solve the following quadratic equations by factorization:
25x(x + 1) = – 4
Find the consecutive numbers whose squares have the sum 85.
The sum of the squares of three consecutive natural numbers as 149. Find the numbers
Solve the following quadratic equations by factorization:
`(3x-2)/(2x-3)=(3x-8)/(x+4)`
One of the roots of equation 5m2 + 2m + k = 0 is `(-7)/5` Complete the following activity to find the value of 'k'.
Solve the following quadratic equation by factorization.
`2"x"^2 - 2"x" + 1/2 = 0`
Solve the following quadratic equations by factorization:
\[\frac{3}{x + 1} + \frac{4}{x - 1} = \frac{29}{4x - 1}; x \neq 1, -1, \frac{1}{4}\]
Some students planned a picnic. The budget for the food was Rs. 480. As eight of them failed to join the party, the cost of the food for each member increased by Rs. 10. Find how many students went for the picnic.
Solve the following equation by factorization
`sqrt(3)x^2 + 10x + 7sqrt(3)` = 0
Solve the following equation by factorisation :
`sqrt(3x^2 - 2x - 1) = 2x - 2`
