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Question

There are 2 numbers in the ratio of 4:5. If 4 is subtracted from both numbers the ration becomes 3:4 . What will be the ratio if 4 is added in the both numbers?

1:2

2:3

5:6

1:4

ANSWER : 3

Descrption

<p>Let </p>
<p>Numbers are 4x and 5x</p>
<p>According to the question,</p>
<p> </p>
<p class = "MsoNormal"><span style = "font - size: 11pt; line - height: 16.8667px; font - family: Calibri, sans - serif;">(4x - 4)/(5x - 4)  =  3/4</span></p>
<p class = "MsoNormal"><span style = "font - size: 11pt; line - height: 16.8667px; font - family: Calibri, sans - serif;">or, 16x - 16  =  15x - 12</span></p>
<p class = "MsoNormal"><span style = "font - size: 11pt; line - height: 16.8667px; font - family: Calibri, sans - serif;">or, 16x - 15x  =  12   +   16</span></p>
<p class = "MsoNormal"><span style = "font - size: 11pt; line - height: 16.8667px; font - family: Calibri, sans - serif;">or, x  =  4</span></p>
<p class = "MsoNormal"><span style = "font - size: 11pt; line - height: 16.8667px; font - family: Calibri, sans - serif;">so the numbers are  =  4*4  =  16 and 5*4  =  20</span></p>
<p class = "MsoNormal"><span style = "font - size: 11pt; line - height: 16.8667px; font - family: Calibri, sans - serif;">Adding 4 the numbers will be  =  16  +  4  =  20 and 20  +  4  =  24</span></p>
<p class = "MsoNormal"><span style = "font - size: 11pt; line - height: 16.8667px; font - family: Calibri, sans - serif;">Required Ratio  =  20:24</span></p>
<p class = "MsoNormal" style = "padding - left: 80px;"><span style = "font - size: 11pt; line - height: 16.8667px; font - family: Calibri, sans - serif;">    =  5:6 (divided by 4)</span></p>
<p class = "MsoNormal"><span style = "font - size: 11pt; line - height: 16.8667px; font - family: Calibri, sans - serif;">Ans: 5:6</span></p>

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