two numbers are in the ratio 2:5. if each number is increased by 13 ,the ratio becomes 5:6 .find the sum of this two numbers.
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Step-by-step explanation:
Two numbers are in the ratio 3 : 5.
Let the rational between two numbers be x, therefore two numbers will be 3x and 5x
If each number is increased by 18, the ratio becomes 3 : 4.
(3x + 18) / (5x + 18) = 3 / 4
Cross multiplication
3 (5x + 18) = 4 (3x + 18)
15x + 54 = 12x + 72
15x - 12x = 72 - 54
3x = 18
x = 18 / 3
x = 6
The rational is 6
Therefore two numbers are 3x = 3 × 6 = 18 and 5x = 5 × 6 = 30
Answer the two numbers are 18 and 30
Now checking the correctness of result by adding 18 to the derived numbers, the ratio should be 3 / 4.
18 + 18 = 36 and 30 + 18 = 48
36/48 = 3 / 4
Means answer is correct
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