two numbers are in the ratio 4:5 . If 30 is subtracted from each of the numbers,the ratio becomes 1:2 . find the numbers
Answers
Step-by-step explanation:
original ratio = 4:5
let X be a constant
so the two numbers are 4x and 5x
now 30 is subtracted from both and ratio is 1:2
4x -30 : 5x- 30 = 1:2
=》4x -30 / 5x - 30 = 1/2
=》2( 4x - 30) = 1 ( 5x - 30) { cross multiplication}
=》8x- 60 = 5x - 30
=》8x- 5x = -30 + 60
=》3x = 30
=》x = 10
putting the value of x in numbers assumed
4x =4 × 10 = 40
5x = 5 × 10 = 50
Therefore, the numbers are 40 and 50.
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Given :-
Two numbers are in the ratio 4:5 if 30 is subtracted from each of the number, the ratio becomes 1:2
To Find :-
Numbers
Solution :-
Let the ratio be 4x and 5x
4x - 30/5x - 30 = 1/2
2(4x - 30) = 5x - 30
8x - 60 = 5x - 30
8x - 5x = 60 - 30
3x = 30
x = 30/3
x = 10
Numbers are
4x = 4(10) = 40
5x = 5(10) = 50