two numbers are in the ratio 3:5 If each increase by 10,the ratio became 5:7Thesum of number is
Answers
Answered by
5
Answer:
40
Step-by-step explanation:
Let the numbers be=3x, 5x
According to question
3x+10/5x+10=5/7
21x+70=25x+50
70-50=25x-21x
20=4x
x=20/4
x=5
3x=3×5=15
5x=5×5=25
so sum of Numbers=15+25
=40
Answered by
10
Ratio of the two number is 3:5
Let us take the common multiple is x
Then the numbers are 3x and 5x
By the given condition, each number is increased by 10
Then the new numbers be (3x + 10) and (5 x + 10)
By the given condition,
(3x+10) : (5x+10) = 5:7
(3 x + 10)/(5 x + 10)= 5/7
7(3x+10) = 5(5x+10)
21x+70 = 25x+50
25x-21x = 50-70
4x = 20
x = 20/4
x = 5
So, common multiple = 5.
Therefore, The sum of the numbers:-
(3x+5x)
8x
8×5
=> 40
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