a woman is now 30 years older then her son 15 years ago she was twice as old as her son find the present age of the woman and her son
Answers
Here Is Your Ans
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Let the woman's Present age be X
Then son's present age will be ( X- 30)
15 years ago
Woman was ( X - 15)
Son was (X-30) - 15 = X-45
But
According To The Question
W = 2 (S) ----- (15 years ago )
(X-15) = 2 (X-45)
X-15 = 2X - 90
X - 2X = - 90 + 15
- X = - 75
Multiplying both sides by (-)
X = 75
So the present ages are
Woman = 75 years
Son = 75 - 30 = 45 years
Answer: Woman = 75 years
Son = 45 years
Step-by-step explanation:
PRESENT DAY
Woman = y years
Son = x years
Given: y - x = 30 ------- (I)
15 YEARS AGO
Woman = y - 15 years
Son = x - 15 years
Given: 2(x - 15) = y - 15
= 2x - 30 = y - 15
= 2x - y = 15 --------- (ii)
Solving equation (I) and (ii) simultaneously
2x - y = 15
-x + y = 30
------------------
x. = 45
Hence y = 30 + x
= 75
Hence in the present the woman is 75 years and the son is 45 years old.
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