Aptitude Discussion

Q. |
The LCM of two numbers is 280 and their ratio is $7:8$. The two numbers are |

✖ A. |
70, 80 |

✔ B. |
35, 40 |

✖ C. |
42, 48 |

✖ D. |
28,32 |

**Solution:**

Option(**B**) is correct

Let the number be $7x$ and $8x$

HCF $= x$

Hence, $\text{HCF × LCM} = 7x × 8x$

⇒ $280x = 56 x×x$

⇒ $x= 5$

Thus numbers are **35 and 40**.

**SAUROJIT**

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**Gopal**

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l.cm of 280=l.cm of the a,b(choose all the option and workout)

take l.c.m for 280 = 7*8*5

take each option and l.c.m

70,80 2*5*7*8 **answer is wrong**

35, 40 7*8*5 answer is same as 280 l.cm

hope this is helpfull

7*P=280 ..=>P=40

8*Q=280..=>Q=35