A two digit number is 4 times the sum and three times the product of its digits.Find the number .
1 answer:
Answer:
24
Step-by-step explanation:
= 10x+y=4(x+y)
= 10x-4x=4y-y
= 6x=3y
(÷2) = (2x=y)----- eq.1
According to the quest:-
Case.2-- the number is also equal to 3 times the product of the digits.
10x+y=3xy
Substitute the value of y=2x in place of y.
We get, 10x+2x=(3x)(2x)
= 6x²-12x=0
= 6x(x-2)=0
= 6x=0 so, x=0 or x-2=0 so, x=2.
Consider eq.1:- 2x=y
= 2(2)=y so y=4
OR
= 2(0)=y so y=0
So we take x=2 and y=4
The number:- 10x+y
= 10(2)+4
= 24
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