Question

10 year ago A was one third of q's age if the ratio of the present age of a and q is 4 is to 7 what is the total sum of the ages after 5 years?​

Answer 1

Answer:

54

Step-by-step explanation:

Ratio of present age

a / q = 4 / 7

a = 4q/7

10 yrs ago:

(a - 10) = (1/3) × (q - 10)

4q/7 - 10 = q/3 - 10/3

4q/7 - q/3 = 10 - 10/3

(4q/7 × 3/3) - (q/3 × 7/7) = (10 × 3/3) - 10/3

12q/21 - 7q/21 = 30/3 - 10/3

5q/21 = 20/3

q = 20/3 × 21/5

q = 28

If q = 28 then

a = 4q/7

= (4 × 28)/7

= 16

After 5 years:

Sum of ages = (a + 5) + (q + 5)

= 16 + 5 + 28 + 5

= 54

Answer 2

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