Question

Two numbers have the ratio 7:5 their difference is 12 find the numbers

Answer 1

Answer:

42;30

Step-by-step explanation:

Let us assume,7/5=x/y

so we get,x=7y/5

given that x-y=12

7y/5 - y = 12

2y=60

y=30

by substituting in the above equation we get,

7(30)=5x

x=42

therefore the numbers are 42,30

Answer 2

$\huge\underline\bold\red{Given}$

Numbers are in ratio 7:5. Find numbers if the difference is 12.

$\huge\underline\bold\pink{Answer}$

Numbers are in ratio= 7:5

Difference is= 12

Let,

${\boxed{\green{The\:two\:numbers\:be\:x\:and\:y}}}$

Let the y be bigger then x

⠀──━━━━━━━━⊱✿⊰━━━━━━━━──

A.T.Q,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀${\sf{x:y::\:5:7}}$

➛$\frac{x}{y}$

➛$\frac{5}{7}$

➛$x= \frac{5y}{7}$

${\boxed{\green{The\:difference\:was\:12}}}$

$y\:-\:x=12$

➛$y- \frac{5y}{7}=12$

➛$7y-5y=12×7$

➛$2y=84$

➛$=\frac{84}{2}$

➛${y=42}$

➛42-x=12

➛42-12=x

➛x=30

➛30+12=42

${\boxed{\sf{\green{Hence,the\:numbers\:are\:30\:and\:42}}}}$

$\huge\underline\bold\purple{ThankYou}$