Math, asked by adityasudhanshu, 7 months ago

answer the question 4​

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Answered by pjgaikar06
4

Answer:

Rohan = 10 years

Father = 40 years

Step-by-step explanation:

= 1 x + 4x = 50

= 5 x = 50

= x = 10

Rohan's age,

1x = 1 x 10 = 10 years

His father's age,

4x = 4 x 10 = 40 years

Answered by XxFAKELOVExX
115

 \huge \underline \mathbf \red{Question ⤵}

The ratio of Rohan's age to that of his father is 1:4. Calculate their ages if the sum oftheir ages is 50 years.

 \huge \underline \mathbf \red{Solution⤵}

  • The ratio of their ages = 1:4
  • The sum of their ages = 50 years
  • Let Rohan be x years
  • Let age of Rohan's Father y years

According to the question

x + y = 50

→x = 50 - y....(i)

Ratio of their ages = 1:4

★ A/Q

x : y = 1:4

→(50-y):y = 1:4

50 - y / y = 1/4

→y = 200 - 4y

→y + 4y = 200

→5y = 200

→y = 40

 \underline\mathsf \blue{Age \:  of  \: Rohan's  \: Father \:  = 40 \: years}</p><p>

Putting y = 40 in (i) no.equation

→x= 50-y

→x = 50 -40

→ x = 10

 \underline \mathsf \blue{Rohan's \:  Age  \:  = 10 \: years}

 \large \huge \underline \mathbf \red{Answer}

Therefore ; Rohan's Age is 10 years and father's age is 40 years


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