the present age pf a and b are in the ratio 7:5 and 10 years later their age will be in the ratio 9:7 find the present age please in pen paper form or in full method
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Present Age of A =35
Present Age of B =25
Step-by-step explanation:
Let the Present ages ofA and B be 7x and 5x respectively.
After 10 years, their ages will be (7x +10) and (5x + 10)
Given
(7x +10) : (5x + 10) = 9 : 7
⇒7(7x + 10)= 9(5x + 10) Product of extremes = Product of means
⇒49x+ 70= 45x + 90
⇒49x - 45x = 90-70
⇒4x= 20
⇒x=20/4
⇒x=5
∴Age of A = 7x = 7 x 5 =35
Age of B = 5x = 5 x 5 =25
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