Question

A positive number is 5 times another number. If 21 is added to both the numbers,then one of the new numbers becomes twice the other new number. What are the numbers?​

Answer 1

Let one number be M and other number be N.

A positive number is 5 times the other.

→ M = 5N ____ (eq 1)

If 21 is added on both sides, then the one number becomes twice the other number.

• One number = M + 21
• Other number = N + 21

According to question,

→ M + 21 = 2(N + 21)

→ M + 21 = 2N + 42

→ 5N + 21 = 2N + 42 [From (eq 1)]

→ 5N - 2N = 42 - 21

→ 3N = 21

→ N = 7

Put value of N in (eq 1)

→ M = 5(7)

→ M = 35

∴ Numbers are 35 and 7.

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☆ Verification :

From above calculations we have M = 35 and N = 7

Put value of M and N in (eq 1)

→ 35 = 5(7)

→ 35 = 35

Answer 2

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