Question

If the number is added to the ratio 7:15, the ratio becomes 7:11. Then find the number?​

Answer 1

QUESTION :-

If the number is added to the ratio 7:15, the ratio becomes 7:11. Then find the number.

SOLUTION:-

$\rightarrow$ let, the number be r,

$\rightarrow$ .°. the number is added to the ratio 7:15 ( given)

$\rightarrow$ .°. add r in this ratio, so

$\rightarrow$ r + 7 / r + 15 = 7 /11

HERE APPLY CROSS MULTIPLICATION.

$\rightarrow$ 7(r +7) = 11(r +15)

$\rightarrow$ 7r +49 = 11r + 165

$\rightarrow$ .°. 7r - 11r = 49 - 165

$\rightarrow$ .°. - 4r = - 116

$\rightarrow$ .°. r = 29

SO, THE NUMBER IS 29.

Answer 2

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let,

the number be r,

= .°. the number is added to the ratio 7:15 ( given)

= .°. add r in this ratio, so

= r + 7 / r + 15 = 7 /11

HERE APPLY CROSS MULTIPLICATION.

= 7(r +7) = 11(r +15)

= 7r +49 = 11r + 165

=.°. 7r - 11r = 49 - 165

=.°. - 4r = - 116

= .°. r = 29

SO,

THE NUMBER IS 29.

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