Question

the ratio of two numbers is 4:5 and their sum is 36 greater number is_​

Answer 1

4x+5x=36
9x=36
x=36÷9
=x=4

1 number =4×4=16
2number=5×4=20
so the greater number is 20

Answer 2

Ratio are the division form of two quantities but with no unit .

Hence , if we take one as 4x and another as 5x . So , 4x/5x = 4/5 .

$\huge {\bf{\red{\fbox {Given }}}}$

The ratio of two numbers = 4:5. And their sum = 36 .

$\huge{\bf{\red{\fbox{To find }}}}$

The greater number = ?

$\huge{\bf{\red{\fbox{SOLUTION }}}}$

Let the two numbers be 4x and 5x .Then ,

ATQ ,

4x + 5x = 36

= 9x = 36

= x = 36 ÷ 9

= x = 4

The 1st no. will be = 4x = 4× 4 = 16.

2nd no. = 5x = 5 × 4 = 20 .

$\textbf{THUS THE GREATER NO. IS 20 .}$