Twice the son's age in years, is added to the father's age, the sum is 70. But, if twice the father's age added to the son's age, the sum is 95. Find their ages. Answer using 1 variable( i.e. 'x' ) only.
Class 8
Answers
Step-by-step explanation:
let the the son's age be x
And their father's age be 2x
2x + x :- 70
3x :- 70
x :- 70/3
• Let present age of father be (x) years and present age of son be (y) years.
» Twice the son's age in years, is added to the father's age, the sum is 70.
A.T.Q.
⇒ x + 2y = 70
⇒ x = 70 - 2y _________ (eq 1)
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» Twice the father's age added to the son's age then the sum is 95.
A.T.Q.
⇒ 2x + y = 95
⇒ 2(70 - 2y) + y = 95
⇒ 140 - 4y + y = 95
⇒ - 3y = 95 - 140
⇒ - y = - 45/3
⇒ y = 15 (age of son)
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Put value of y in (eq 1)
⇒ x = 70 - 2(15)
⇒ x = 70 - 30
⇒ x = 40 (age of father)
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Present age of father = 40 years
Present age of son = 15 years.
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✡ VERIFICATION :
From above calculations we have x = 40 and y = 15
Put value of x and y in this equation : x + 2y = 70
→ 40 + 2(15) = 70
→ 40 + 30 = 70
→ 70 = 70
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