Determine if 2110 is divisible by 45
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Let the age of father be x years
Let the age of one of his children be y years and age of other children be z years
From given information,
x=2×(y+z)...(1)
After 20 years,
(x+20)=(y+20)+(z+20)...(2)
Substituting value of (1) in (2), we get
2×(y+z) +20=y+z+40
2y+2z−y−z=40−20
y+z=20...(3)
Substituting value of (3) in (1), we get
x=2×(20)
⇒x=40
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Answer:
Ex 3.5, 10 Determine if 25110 is divisible by 45. [Hint : 5 and 9 are co-prime numbers. Test the divisibility of the number by 5 and 9].
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