Question

plss tell the answer​

Answer 1

Given :

• LCM of two numbers is 280
• Two numbers are in ratio of 7 : 8

To find :

• Smaller number

Solution :

Let

• First number be x
• Second number be y

Therefore ,

➝ x : y = 7 : 8

{ Let Common multiple of x and y be z }

This gives

• x = 7z
• y = 8z

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Now , LCM of x and y [ by prime factorization ]

➝ x = 7 × z

➝ y = 2 × 2 × 2 × z

LCM of x & y = 7 × (2×2×2) × z

➝ LCM of x & y = 56z

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Also, according to question LCM of two numbers is 280

➝ 280 = 56z

➝ z = 280/56

➝ z = 5

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Therefore,

• x = 7z

➝ x = 7×5

➝ x = 35

• y = 8z

➝ y = 8×5

➝ y = 40

Therefore smaller number is 35

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ANSWER :

Option b) 35