P tells Q,” when my age was 4/5th of your present age, your age was 7/11th of my present age”. if the present age of Q is 30 years, the present age of P is?
Answers
Answer:
Step-by-step explanation:
→ The present age of P is 33 yrs.
→ Given that P tells Q " when my age was 4/5 of your present age , your age was 7/11 of my present age" and if the resent age of Q is 30 years then we have to find the present age of P
→ Let the present age of P and Q are x and y respectively.
→ It is given that when P age was 4/5 of Q present age then Q age was 7/11 of P age which gives the equation
SPACE FOR IMAGE-1
→ Now, if the resent age of Q is 30 years i.e y=30 yrs.
⇒ SPACE FOR IMAGE -2
→ Hence, the present age of P is 33 yrs.
Present age of P is 33 years.
Given,
Present age of Q = 30 years
To Find,
Present age of P.
Solution,
Let the present age of P = X years and present age of Q = y =30 years.
From question we can write,
X - 4/5 of y = y - 7/11 of X
55 X - 44Y = 55 Y - 35 X
90 X = 99 Y
90 X = 99 * 30
X = 33
Hence, present age of P = 33 Years.
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