How to solve this maths questions

[From: ] [author: ] [Date: 12-08-27] [Hit: ]

..... Eq.......

Son's Age = s

f + s = 52
f = 52 - s ........... Eq. 1

s = f - 24 ........... Eq. 2

Sub 52 - s from Eq. 1 for f in Eq. 2:

s = (52 - s) - 24
s = 52 - s - 24
s + s = 28
2s = 28
s = 28 / 2
s = 14

and

f = 52 - 14
f = 38

The father is 38 and the son is 14.
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Let the son's age be X
The father's age = X + 24
The combined age of both = X + X + 24 = 52
=> 2x + 24 = 52
=> 2x = 52 - 24 = 28
=> x = 28/2 = 14
Hence, the son's age = 14 and
the father's age = 14 + 24 = 38

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Combine like terms on the right side
52=2x+24
get x term alone
52-24=2x
28=2x
28/2=x
x=14
therefore the son is 14
And the father is 14+24=38

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x - son's age
x+24 - father's age
x+x+24=52 - their general age
x+(x+24)=52
x+x+24=52
2x=28
x=14- son's age
14+24=38 - father's age

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12

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