1) A father is 25 years older than his son. After 8 years, the ratio of their ages will be 13:8. Find their present ages.
2) The difference of two numbers is 4. The larger number exceeds three times the smaller number by 2. Find the numbers
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Step-by-step explanation:
LET THE AGE OF FATHER BE X
LET THE AGE OF SON BE Y
ACCORDING TO THE QUESTION ,
Y=X+25---------------------------eq¹
After 8 years.....
Age of father will be x+8
Age of son will be x+25+8 = x+33
The ratio of their ages is,
x+8/x+33 = 13/8
8(x+8) = 13(x+33)
8x+64 = 13x + 429
13x-8x = 429-64
5x = 365
x = 365/5 = 73
Now put x = 73 in eq¹
y = x+25
y = 73 + 25
y = 98
THEREFORE , AGE OF FATHER IS 98 AND AGE OF SON IS 73
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