Two number are in the ratio 8:3 if the sum of the number is 143 find the number
Answers
Answer:
u take the ratio as 8x +3x = 143 then u can solve this equation the u get the value of x then put value of x in the both the values 8 x and 3 x then u will get ur answer
Answer:
The required two numbers are 104 & 39.
Step-by-step-explanation:
We have given that,
Two numbers are in the ratio 8 : 3.
Let the common multiple be x.
∴ First number = 8x
Second number = 3x
From the given condition,
The sum of two numbers is 143.
∴ First number + Second number = 143
⇒ 8x + 3x = 143
⇒ 11x = 143
⇒ x = 143 / 11
⇒ x = 13
Now,
First number = 8x
⇒ First number = 8 * 13
∴ First number = 104
And,
Second number = 3x
⇒ Second number = 3 * 13
∴ Second number = 39
∴ The required two numbers are 104 & 39.
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Verification:
The ratio of two numbers is 8 : 3.
∴ First number : Second number = 8 : 3
Taking LHS and substituting the values,
LHS = 104 : 39
⇒ LHS = 104 / 39
⇒ LHS = ( 13 * 8 ) / ( 13 * 3 )
⇒ LHS = 13 ÷ 13 * ( 8 / 3 )
⇒ LHS = 1 * ( 8 / 3 )
⇒ LHS = 8 / 3
⇒ LHS = 8 : 3
RHS = 8 : 3
∴ LHS = RHS
Also,
The sum of two numbers is 143.
We have,
First number + Second number = 104 + 39
∴ First number + Second number = 143