the hcf and lcm of two number are 135 and 7560 respectively. if one of the number is 280. find the other number
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Answer:−
The second Number is 3645.
Explanation:−
Given :-
HCF of the Numbers = 135
LCM of the Numbers = 7560
One Number = 280
To Find :-
The second Number
Solution :-
Consider the second number as x.
★ HCF × LCM = Product of 2 numbers
⟶ 135 × 7560 = x × 280
⟶ 1020600 = 280x
⟶ x = 1020600/280
⟶ x = 3645
∴ The second Number is 3645.
Verification:−
⟶ 135 × 7560 = 3645 × 280
⟶ 1020600 = 1020600
∴ The second Number is 3645.
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