the present age of Ram and Ramesh are are at the ratio 8 ratio 9. after 5 years the number of their ages will be 9 ratio 10. find there present age
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Step-by-step explanation:
so present ages of ram and ramesh is in the ratio 8:9.
that is present ages of ram and ramesh can be taken as 8x and 9x.
now after 5 years the ratio of their ages will be 9:10.
that is, age of ram after 5 years = 8x + 5 = 9
and age of ramesh after 5 years = 9x + 5 = 10
we can write it as 8x + 5 = 9
9x + 5 10
now we can cross multiply.
10(8x + 5 ) = 9(9x + 5 )
80x + 50 = 81x + 45
81x - 89x = 50 - 45
x = 5
age of ram = 8x = 8 × 5 = 40
age of ramesh = 9x = 9 × 5 = 45
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