Question

Two numbers are in the ratio 3 : 5. If their sum is 72, then the numbers are :​

Answer 1

Answer:

27 and 45

Step-by-step explanation:

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Answer 2

Given :

• Two numbers are in ratio 3:5.
• Sum of the numbers is 72.

To Find :

• Two numbers.

Solution :

$\longmapsto\tt{Let\:the\:1st\:no.\:be=3x}$

$\longmapsto\tt{Let\:the\:2nd\:no.\:be=5x}$

$\longmapsto\tt{Sum\:of\:Numbers=72}$

A.T.Q :

$\longmapsto\tt{3x+5x=72}$

$\longmapsto\tt{8x=72}$

$\longmapsto\tt{x=\cancel\dfrac{72}{8}}$

$\longmapsto\tt\bold{x=9}$

Therefore :

$\longmapsto\tt{First\:No.=3(9)}$

$\longmapsto\tt\bold{27}$

$\longmapsto\tt{Second\:No.=5(9)}$

$\longmapsto\tt\bold{45}$

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VERIFICATION :

$\longmapsto\tt{72=3x+5x}$

$\longmapsto\tt{72=3(9)+5(9)}$

$\longmapsto\tt{72=27+45}$

$\longmapsto\tt\bold{72=72}$

HENCE VERIFIED