the ratio of men present age is 3:4 and this will be 7:9 after 4 years.what are their present age
Answers
Answer:
36 and 28 years
Step-by-step explanation:
The ratio of the present ages of two boys is 7:9. If the ratio of their ages after 4 years will be 4:5, then what are their present ages?
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The ratio of the present ages of two boys is 7:9.
Let the rational between present ages of two boys be x. Thus the ages of the boys are 7x and 9x.
If the ratio of their ages after 4 years will be 4:5,
In 4 years from now their ages will be (7x+4) and (9x+4). The ratio between their ages
(7x + 4) / (9x + 4) = 4 / 5
Cross multiplication
4 (9x + 4) = 5 (7x + 4)
36x + 16 = 35x + 20
36x - 35x = 20 - 16
x = 4
The rational is 4, this their respective ages
One boy = 7x = 7 × 4 = 28 years
Other boy = 9x = 9 × 4 = 36 years
Thus the present ages of two boys are 28 years and 36 years.
Answer:
The ratio of the present ages of two boys is 7:9.
Let the rational between present ages of two boys be x. Thus the ages of the boys are 7x and 9x.
If the ratio of their ages after 4 years will be 4:5,
In 4 years from now their ages will be (7x+4) and (9x+4). The ratio between their ages
(7x + 4) / (9x + 4) = 4 / 5
Cross multiplication
4 (9x + 4) = 5 (7x + 4)
36x + 16 = 35x + 20
36x - 35x = 20 - 16
x = 4
The rational is 4, this their respective ages
One boy = 7x = 7 × 4 = 28 years
Other boy = 9x = 9 × 4 = 36 years
Thus the present ages of two boys are 28 years and 36 years