Question

Is the statement 21:35 = 24:40 true?give reason

Answer 1

Yes. The are equivalent to each other

Explanation:

21 : 35

The LCM of these two numbers is 7

When we divide both of them by 7, we're left with 3:5

24 : 40

The LCM of these two numbers is 8

When we divide both numbers by 8, we're left with 3:5

And, 3:5 = 3:5, so we can say 21:35 = 24:40

PS: Also, if we multiply 21 : 35 by 8 and 24 : 40 by 7, we get the same result, i.e 168 : 280 which also proves that they are equivalent.

Answer 2

It’s true

21:35 simplifies to 3:5 when divided by 7 on both sides

24:40 also simplifies to 3:5 when divided by 8 on both sides

Hope that helps!