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Q.

The difference between the two numbers is 4. If the sum of five times the smaller number and the bigger number is 58, find the numbers.


Sub Grade: 9


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a

13 and 9

b

15 and 20

c

9 and 7

d

10 and 8 

answer is A.

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Detailed Solution

Let x is blogger and y is smallest number
x-y=4 (1)
According to question
x+5y= 58 (2)
From equation (1) and (2)
x-y=4 -(1)
x+5y= 58 -(2)
-     -       -
-6y= -54
y=9
putb  the vlue of y in
Equation (1)
x-y= 4
x-9=4
x=13
Sp the numbers are 13 and9
   
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The difference between the two numbers is 4. If the sum of five times the smaller number and the bigger number is 58, find the numbers.Sub Grade: 9