Then, (3x + 10) + 10 = 2[(x + 10) + 10]
⟹ 3x + 20 = 2x + 40
⟹ x = 20.
∴ Required ratio = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3.
Then, | 5x + 3 | = | 11 |
4x + 3 | 9 |
⟹ 9(5x + 3) = 11(4x + 3)
⟹ 45x + 27 = 44x + 33
⟹ 45x - 44x = 33 - 27
⟹ x = 6.
∴ Anand's present age = 4x = 24 years.
Then, | (6x + 6) + 4 | = | 11 |
(5x + 6) + 4 | 10 |
⟹ 10(6x + 10) = 11(5x + 10)
⟹ 5x = 10
⟹ x = 2.
∴ Sagar's present age = (5x + 6) = 16 years.
Then, the person's present age = | ❨ | 2 | x | ❩ | years. |
5 |
∴ | ❨ | 2 | x + 8 | ❩ | = | 1 | (x + 8) |
5 | 2 |
⟹ 2(2x + 40) = 5(x + 8)
⟹ x = 40.
∴ (x + 24) + 2 = 2(x + 2)
⟹ x + 26 = 2x + 4
⟹ x = 22.
⟹ 2x = 38.
⟹ x = 19.
∴ Son's age 5 years back (19 - 5) = 14 years.
4x + 6 = 26 ⟺ 4x = 20
x = 5.
∴ Deepak's age = 3x = 15 years.
Then, Sachin's age = (x - 7) years.
∴ | x - 7 | = | 7 |
x | 9 |
⟹ 9x - 63 = 7x
⟹ 2x = 63
⟹ x = 31.5
Hence, Sachin's age =(x - 7) = 24.5 years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50
⟹ 5x = 20
⟹ x = 4.
∴ Age of the youngest child = x = 4 years.
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