the product of two successive multiples of 10 is 1200 then find these multiples plz question the answer
Answers
Answered by
0
Answer:
30,40
Step-by-step explanation:
the multiples means the outcomes of the table 10 !
so 10×3=30
10*4=40
30*40=1200
Answered by
1
Answer:
let the 1st multiple of 10 be = x
let the successive multiple of 10x be = x+10
therefore, the equation would be like :-
x(x+10) = 1200
=> x²+10x = 1200
=> x² + 10x -1200 = 0
=> x² +40x-30x-1200 = 0
=> x(x+40) -30(x+40) = 0
=> (x-30)(x+40) = 0
=> (x-30) = 0
=> x = 30 ----> (1)
and,
=> (x+40) = 0
=> x = -40 ----> (2)
by verifying 1 and 2 with the equation
(1):-
x=30
x+10 = 40
therefore, 30×40 = 1200
hence verified.
(2):-
x=(-40)
x+10 = (-30)
therefore, (-40)(-30) = 1200
hence verified.
So, both 1 and 2 are correct.
ANSWERS :- i) both 30 and 40
ii) and -40 and -30
Hope it helped :)
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