Question

Two numbers are in the ratio 3;5 If they differ by 26 then the larger number is :​

Answer 1

Answer:

The larger number is 65

Step-by-step explanation:

Given that,

Two numbers are in the ratio of 3 : 5

Their difference is 26

➪ Considering the numbers as 3x and 5x

Here, 3x is the smaller number and 5x is the larger number.

If they differs by 26

✦ Equation forms like this :

⇒ 5x - 3x = 26

✦ Solving for x :

⇒ 5x - 3x = 26

⇒ 2x = 26

⇒ x = 26/2 *[Transposing 2 in L. H. S. ]*

⇒ x = 13

The value of x is 13

✦ Hence,

The larger number is 5x = 5(13) = 65

____________________

✦ Verification :

As the question says that they differs by 26

So,

→ Larger number - Smaller number = 26

→ 5x - 3x = 26

→ 2x = 26

→ 2(13) = 26 [Substitute the value of x]

→ 26 = 26

Since,

L. H. S. (left hand side) = R. H. S. (Right hand side)

Hence, verified ☑