Question

find out two numbers whose difference is 18 and the ratio of the larger number to the smaller one is 7:4​

Answer 1

Answer:

Larger number = 42

Smaller number = 24

Step-by-step explanation:

Ratio = 7:4

The difference of numbers = 18.

= 7x - 4x = 18

3x = 18

x = 6

Larger number = 7x = 7 × 6 = 42

Smaller number = 4x = 4 × 6 = 24

Answer 2

$\Large{\textbf{\underline{\underline{According\:to\:the\:Question}}}}$

Assumption

Common ratio be p.

Hence,

${\boxed{\sf\:{First\;Number}}}$

= 7p

Also,

${\boxed{\sf\:{Second\;Number}}}$

= 4p

$\textbf{\underline{Difference\;of\;2\;number\;=\;18}}$

7p - 4p = 18

3p = 18

${\boxed{\sf\:{p=\dfrac{18}{3}}}}$

p = 6

Hence,

${\boxed{\sf\:{First\;Number}}}$

= 7 × 6

= 42

Also

${\boxed{\sf\:{Second\;Number}}}$

= 4 × 6

= 24

Hence,

$\large{\boxed{\sf\:{Numbers\;are\;24\;and\;42}}}$

$\huge{\textbf{\boxed{\bigstar{{Verification}}}}}$

7p - 4p = 18

7(6) - 4(6) = 18

42 - 24 = 18

18 = 18