the ages of hari and harry are in the ratio 5:7 four years from now the ratio of their ages will be 3:4 find their present ages.
hi jinia
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the ages of hari and harry are in the ratio 5:7 four years from now the ratio of their ages will be 3:4 find their present ages.
hi jinia
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Given:
To find:
Solution:
Let ratio be x
∴ Hari's age[tex]\bf\color{magenta}{⤳}[/tex] 5x,
Harry's age[tex]\bf\color{magenta} {⤳}[/tex]7x
and four years later: Ages will be 5x+4 and 7x+4
As per the question:
∴[tex] \sf \dfrac{5x+4}{7x+4}[/tex]=[tex] \sf \dfrac{3}{4}[/tex]
∴ 4(5x+4)=3(7x+4)
∴20x+16=21x+12
∴20x−21x=12−16
∴−x=−4
∴x=4
[tex]\bf\color{magenta}{⤳}[/tex]Hari's age =5x=5×4=20 years
[tex]\bf\color{magenta}{⤳}[/tex]Harry's age =7x=7×4=28 years
Answer:
aap humse naraj hai ??
toh fir bye
Step-by-step explanation:
Given:
The ages of hari and harry are in the ratio 5:7 four years from now the ratio of their ages will be 3:4
To find:
Their present ages
Solution:
Let ratio be x
∴ Hari's age\bf\color{magenta}{⤳}⤳ 5x,
Harry's age\bf\color{magenta} {⤳}⤳ 7x
and four years later: Ages will be 5x+4 and 7x+4
As per the question:
∴\sf \dfrac{5x+4}{7x+4}
7x+4
5x+4
=\sf \dfrac{3}{4}
4
3
∴ 4(5x+4)=3(7x+4)
∴20x+16=21x+12
∴20x−21x=12−16
∴−x=−4
∴x=4
\bf\color{magenta}{⤳}⤳ Hari's age =5x=5×4=20 years
\bf\color{magenta}{⤳}⤳ Harry's age =7x=7×4=28 years