Ten years ago diva's age was half of namrata. if the ratio of today's their ages is 3:4, then the sum of their current age will be.
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Answer:
d - 10 = n/2
3:4::d:n
so,
4d = 3n
4d/3 = n
d - 10 = 4d/3* 1/2
d - 10 = 4d/6
d - 10 = 2d/3
d - 2d/3 = 10
(3d-2d)/3 = 10
d/3 = 10
d = 30 , n = 30/2 = 15
d = divya , n = namrata
Step-by-step explanation:
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Step-by-step explanation:
Let the present age of Divya and Namrata are 3x and 4x years respectively; then
According to question,
Ten years ago, Age of Divya = 3x - 10
Ten years ago, Age of Namrata = 4x - 10
Now According to question,
Ten years ago, the age of Divya was half of the age of Namrata
3x - 10 = (4x - 10)/2
⇒ 6x - 20 = 4x - 10
⇒ 2x =10
∴ x = 5
Hence, sum of their ages = 3x + 4x = 7x =7 x 5 = 35 years
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