Question

16. The present ages of A and B are in the ratio 5:6. Three years ago, their
ages were
in the ratio 4:5. Find their present ages.


17. Two numbers are in the ratio 5 : 6. When 2 is added to first and 3 is added to
second, they are in the ratio 4: 5. Find the numbers.




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Answer 1

Answer:

16.Let the rational between ages of A and B be x. Hence their ages are 5x and 6x.

After 5 years, the respective ratio between the age of A and B will be 7 : 9.

After 5 years ago their ages were (5x - 5) and (6x - 5) and their ratio 7/9

(5x - 5) / (6x - 5) = 7/9

Cross multiplication

9 (5x - 5) = 7 (6x - 5)

45x - 45 = 42x - 35

45x - 42x = 45 - 35

3x = 10

x = 10/3

The rational is 10/3, therefore their resoective ages.

A's age 5x = 5 × 10/3 = - 50/3 = 600/3 months = 200 months = 16 years 8 months

B's age 6x = 6 × 10/3 = 60/3 = 720/3 months = 240 months = 20 years

Age of A is 16 years 8 months and age of B is 20 years

17.Let the rational betweens two numbers be x

Thus the two numbers are smaller 5x and larger 6x.

If four is added to first number and four is subtracted from second number then the ratio become 3 : 2

After addition of 4 in first number it become 5x + 4 and after substraction of 4 from second number it become 6x - 4. Their ratio

(5x + 4)/ (6x - 4) = 3 / 2,

Cross multiplication

2 (5x + 4) = 3 (6x - 4)

10x + 8 = 18x - 12

10x - 18x = - 12 - 8,

--8x = —20

x = 20/8

x = 2.5

Thus two numbers are,

Smaller 5x = 5 × 2.5= 12.5

Larger 6x = 6 × 2.5 = 15

Difference between two numbers

15 - 12.5 = 2.5

Answer :The difference between the two numbers is 2.5.

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Answer 2

Answer:

Ques 16

Step-by-step explanation:

Let the ages be '5x+6x'

After 3 years 5x+3+6x+3

According to the question

• 5x+3+6x+3 = 4x+5x
• 11x+6 = 9x

Transpose 11x to RHS

• 6 = 9x-11x
• 6 = -2x

Transpose -2 to RHS

• 6/-2=x
• 3/-1 or -3
• is the answer
• I can solve question 16 plzz dont mind