If $343$ is the third proportional and $a$ and $b$ , where $a : b = 1 : 7$ , then find the value of $a + b$

14

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24

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56

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Solution

The correct option is C $56$
Third proportional is $343$
So, $⟹ A : B :: B : 343$
Doing product of the extremes and product of mean, we get
$B^{2} = 343 A ⟶ (1)$
Also, $A : B = 1 : 7$
So, $B = 7 A$
So, $(7 A)^{2} = 343 A A = 7$
$B = 7 A = 49$
$A + B = 49 + 7 = 56$

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If 343 is the third proportional and a and b, where a:b=1:7, then find the value of a+b

The correct option is C 56Third proportional is 343So, ⟹A:B::B:343Doing product of the extremes and product of mean, we getB2=343A⟶(1)Also, A:B=1:7So, B=7ASo, (7A)2=343AA=7B=7A=49A+B=49+7=56

If $343$ is the third proportional and $a$ and $b$ , where $a : b = 1 : 7$ , then find the value of $a + b$

The correct option is C $56$
Third proportional is $343$
So, $⟹ A : B :: B : 343$
Doing product of the extremes and product of mean, we get
$B^{2} = 343 A ⟶ (1)$
Also, $A : B = 1 : 7$
So, $B = 7 A$
So, $(7 A)^{2} = 343 A A = 7$
$B = 7 A = 49$
$A + B = 49 + 7 = 56$