The ages of sheena and meena are in the ratio 5:7 four years later the sum of their ages will be 56 years . what are their present ages
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Answers
Let the age of sheena and meena be x and y respectively.
According to the question:
==> x/y = 5/7
==> 7x = 5y
==> 7x - 5y = 0 ...(1)
Also,
After 4 years:
==> x + 4 + y + 4 = 56
==> x + y = 56 - 8
==> x + y = 48 ...(2)
Multiply (2) by 5
==> 5x + 5y = 240 ...(3)
Adding (1) and (3)
==> 7x - 5y + 5x + 5y = 240 + 0
==> 12x = 240
==> x = 240/12
==> x = 20
Putting value of x in (2)
==> x + y = 48
==> 20 + y = 48
==> y = 48 - 20
==> y = 28
Hence, Age of sheena is 20 years and age of meena is 28 years.
Step-by-step explanation:
let the common multiple be x
present age of sheena is 5x
present age of Meena is 7x
After 4years,
Sheena age is 5x+4
Meena age is 7x+4
Given that:
5x+4+7x+4=56
12x+8=56
12x=56-8
x= 48/12
x=4
Present age of Sheena is 5x= 5*4= 20 years
Present age of Meena is 7x = 7*4=28 years
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