the age of Tanmay and Naman are in the ratio 5 ratio 7 after 5 years the ratio of their ages will be 5 ratio 6 find their present ages
Answers
Answer:
let the ages be 5x and 7x
5x+5/7x+5=5/6
30x+30=35x+25
5=5x
x=1
5x is 5
7x is 7
5x plus 5 is 10
7x plus 5 is 12
10 upon 12 is 5 upon 6
Answer: Their present age is 5 and 7.
Step-by-step explanation: Tanmay and Naman ages are in the ratio of
Present age
5 : 7
let it 5y : 7y (equation 1)
Age after 5 years = present age + 5
(given) 5 : 6 = 5y+5 : 7y+5 (equation 2)
or, 5/6 = 5y+5/7y+5
or, 5(7y+5) = 6(5y+5) ( by cross multiplication)
or, 35y+25 = 30y+30
or, 35y-30y = 30-25
or, 5y = 5
or, y = 5/5
or, y = 1
Now replace y by 1 in (equation 1)
5(1) : 7(1)
5 : 7
so their present ages are
Tanmay is 5 years old.
Naman is 7 years old.
Hope it helps......