Question

दो संख्याओं का योग 36 व अन्तर 6 हैं, तब इन
दोनों संख्याओं का अनुपात होगा
(a)5:7
(b) 7:5
(c) 6:5
(d)5:6​

Answer 1

Step-by-step explanation:

Required answer:-

Let the numbers are x and y

• According to the question

$x+y=36{\dots}{\dots}(1)$

$x-y=6 {\dots}{\dots}(2)$

• Now by adding both equations

${:}\longmapsto$$x+{\cancel{y}}+x-{\cancel{y}=36+6$

${:}\longmapsto$$2x=42$

${:}\longmapsto$$x={\dfrac{42}{2}}$

${:}\longmapsto$${\underline{\boxed{\bf {x=21}}}}$

• Now substitute the value of x in eq (1)

${:}\longmapsto$$21+y=36$

${:}\longmapsto$$y =36-21$

${:}\longmapsto$${\underline{\boxed{\bf {y=15}}}}$

• The numbers are 21 and 15
• Now find the ratio

${:}\longmapsto$$x:y=21:15$

${:}\longmapsto$${\dfrac{x}{y}}={\dfrac {21}{15}}$

${:}\longmapsto$${\dfrac {x}{y}}={\dfrac {7}{5}}$

${:}\longmapsto$${\underline{\boxed{\bf {x:y=7:5}}}}$

$\therefore$The ratio of both numbers is 7:5

Answer 2

7:5 is the correct answer