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(5)
Let, the two numbers be x and y (x > y)
By the given conditions,
- x - y = 26 .....(i)
- x = 3y .....(ii)
Substituting x = 3y in (i) no. equation, we get
3y - y = 26
⇒ 2y = 26
⇒ y = 13
From (ii), we get
x = 3 (13)
⇒ x = 39
Therefore, the two numbers are 39 and 13
(6)
Let, the present age of father is x years and that of son is y years
By the given conditions,
- x = 3y + 3 .....(i)
- x + 3 = 2 (y + 3) + 10 .....(ii)
Putting x = 3y + 3 in (ii) no. equation, we get
3y + 3 + 3 = 2y + 6 + 10
⇒ 3y + 6 = 2y + 16
⇒ 3y - 2y = 16 - 6
⇒ y = 10
Putting y = 10 in (i) no. equation, we will get
x = 3 (10) + 3
⇒ x = 30 + 3
⇒ x = 33
Therefore, the present age of father is 33 years and that of son is 10 years
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