22. The least number such that when it is
divided by 15, 25,35 it leaves remainder
3, 13, 23 respectively is
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Lcm of 15,25,35 & 45 can be achieved as under :
15=5×3
25=5×5
35=5×7
45=5×3×3
LCM will be 5×5×3×3×7=1575. It is also noticed that the difference of divisor and the remainder of respective numbers is 8. Thus the desired number will be,
1575-8=1567
thank you
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