Solve the following
1. The ages of Sonu and Monu are in the ratio 7:5. Ten years hence, the ratio of these
ages will be 9:7. Find their present ages.
2. The numerator of a rational number is 3 less than the denominator. If the denominator
is increased by 5 and the numerator by 2, we get the rational number ½. Find the
rational numbers.
3. Shiv is twice as old as Het. If 6 years is subtracted from Het's age and 4 years added to
Shiv's age, then Sunita will be four times Het's age. How old were they two years ago.?.
Answers
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Answer:
1 ) Let ages of Sonu is 7x and age of Monu is 5x
Step-by-step explanation:
After 10 years
Monu's age = 5x+10
Sonu's age = 7x+10
ATQ (According to Question)
7x+10 + 5x+10 = 9x + 7x
12x + 20 = 16x
12x-16x = -20
-4x = -20
x = -20 /-4
x= 5
Sonu's age = 7x = 7(5) = 35
Monu's age = 5x = 5(5)= 25
2) Let the denominator be x
Then Numerator is x-3
ATQ
x-3+2 = 1
x+5 = 2
(x-1)2=x+5
2x-2 = x+5
2x -x = 2+5
x = 7
Numerator= x-3 = 7-3 = 4
denominator= x = 7
3) Let Hets age be x
Then Shiv's age is 2x
ATQ
Het's age = x-6
Shiv's age= 2x+4
Sunita's age = 4(x-6)
Two years ago =
x-6-2+2x+4-2+4(x-6)-2 = x-6+3x+4+4(x-6)
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